Published papers:

 On the unconditional bundle
convergence in L^{2}space over a von Neumann algebra, Probability and Mathematical Statistics, 22 (2002),
pp. 1927
(MR1944140).
 A few results in noncommutative ergodic theory (with V.I. Chilin and S. Litvinov),
Journal of Operator Theory, 53 (2005) no.2, 331350
(MR2153152).
 Quantum stochastic convolution cocycles I (with J.M. Lindsay),
Annales de l`Institute Henri Poincarî, Probabilités et Statistiques,
41 (2005) no.3 (En homage a P.A. Meyer),
581604
(MR2139034)
.

On a classical scheme in noncommutative multiparameter ergodic theory, in
"Quantum Probability and Infinite Dimensional Analysis," QPPQ 18, (M. Schurmann & U. Franz, eds.), World Scientific,
Singapore 2005, pp. 473491
(available here).

Quantum stochastic convolution cocycles  algebraic and C*algebraic (with J.M. Lindsay),
Banach Center Publications,
73 (2006), 313324
(MR2423137).
 On quantum stochastic differential equations (with J.M. Lindsay),
Journal of Mathematical Analysis and Applications, 330 (2007), no.2, 10931114 (available here).
 Completely positive quantum stochastic convolution cocycles and their dilations,
Mathematical Proceedings of the Cambridge Philosophical Society,
143 (2007), 201219 (an earlier version available here).
 Entropy of shifts in higher rank graph C*algebras (with J. Zacharias),
Houston Journal of Mathematics, 34 (2008), no.1, 269282
(available here).
 Wold decomposition for representations of product systems of C*correspondences (with J.Zacharias),
International Journal of Mathematics, 19 (2008), no.4, 455479
(an earlier version available here).
 The Banach Principle for ideal convergence in the classical and noncommutative context (with G.Horbaczewska),
Journal of Mathematical Analysis and Applications, 342 (2008), no.2, 13321341 (an earlier version available
here).
 Quantum stochastic convolution cocycles II (with J.M. Lindsay),
Communications in Mathematical Physics, 280 (2008), no.3, 575610 (an earlier version available
here).
 On ergodic properties of convolution operators associated with compact quantum groups (with U.Franz),
Colloquium Mathematicum, 113 (2008), no.3, 1323 (an earlier version available
here).
 Approximation of quantum Levy processes by quantum random walks (with U.Franz),
Proceedings of the Indian Academy of Sciences. Mathematical Sciences, 118 (2008), no.2, 281288
(available via the journal's website).
 Noncommutative topological entropy of endomorphisms of Cuntz algebras (with J.Zacharias), Letters in Mathematical Physics ,
86 (2008), no.2, 115134 (an earlier version available here).
 On spectral triples and quasidiagonality (with J.Zacharias), Expositiones Mathematicae, 27 (2009), no.2, 137141
(available here).
 On idempotent states on quantum groups (with U.Franz), Journal of Algebra, 322 (2009), no.5, 17741802 (an earlier version
available here).
 A new characterisation of idempotent states on finite and compact quantum groups (with U.Franz), Comptes Rendus
Mathematique, 347 (2009), no.1718, 991996 (expanded version
available here).
 On isometric dilations of product systems of C*correspondences and applications to families of contractions associated to
higherrank graphs, Indiana University Mathematics Journal, 58 (2009), no.5, 22272252 (an earlier version
available here).
 On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules (with J.Zacharias),
Rocky Mountains Journal of Mathematics, 40 (2010), no.2, 609625
(an earlier version available here).
 Poisson transform on higher rank graph algebras and its applications (with J.Zacharias),
Journal of Operator Theory, 63 (2010), no.2, 425454 (an earlier version
available here).
 Quantum isometry groups of noncommutative manifolds associated to group
C*algebras (with J.Bhowmick), Journal of Geometry and Physics, 60 (2010), no.10, 14741489
(an earlier version available here).
 Approximation properties and entropy estimates for crossed products by actions of
amenable discrete quantum groups (with J.Zacharias), Journal of the London Mathematical Society,
82 (2010), no.1, 184202 (an earlier version available here).
 Probability on topological quantum groups (in Polish), Wiadomosci Matematyczne
46 (2010), no.2, 163196.
 Quantum isometry groups of 0dimensional manifolds (with J.Bhowmick and D.Goswami),
Transactions of AMS, 363 (2011), 901921
(an earlier version available here).
 Convolution semigroups of states (with J.M.Lindsay), Mathematische Zeitschrift
267 (2011), 325339 (an earlier version
available here).
 Twoparameter families of quantum symmetry groups (with T.Banica),
Journal of Functional Analysis 260 (2011), no.11, 32523282 (available here).
 On automorphisms of C*algebras whose Voiculescu entropy is genuinely noncommutative,
Ergodic Theory and Dynamical Systems 31 (2011), 951954 (an earlier version available
here).
 Noncommutative topological entropy of endomorphisms of Cuntz algebras II,
Publications of the Research Institute of Mathematical Sciences 47 (2011), 887896 (an earlier version available
here).
 On Invariant MASAs for Endomorphisms of the Cuntz Algebras (with J.H.Hong and W.Szymański),
Indiana University Mathematics Journal 59 (2010), no.6, 18731892 (an earlier version
available here).
 A vacuumadapted approach to quantum FeynmanKac formulae (with A. Belton and J.M.Lindsay),
Communications in Stochastic Analysis 6 (2012), no.1 (Special issue dedicated to Professor K.R.Parthasarathy), 95109
(an earlier version available here).
 Quantum stochastic convolution cocycles III (with J.M.Lindsay),
Mathematische Annalen 352 (2012), no.4, 779804
(an earlier version available here).
 Noncommutative homogeneous spaces: the matrix case (with T. Banica and P.Sołtan),
Journal of Geometry and Physics 62 (2012), no.6, 14511466
(an earlier version available here).
 Idempotent states and the inner linearity property (with T.Banica and U.Franz),
Bulletin of the Polish Academy of Sciences, Mathematics
60 (2012), 123132 (an earlier version available here).
 Quantum isometry groups of duals of free powers of cyclic groups (with T.Banica),
International Mathematics Research Notices 9 (2012), no.6, 20942122
(an earlier version available here).
 On square roots of the Haar state on compact quantum groups (with U.Franz and R.Tomatsu), Journal of Pure and Applied Algebra
216 (2012), 20792093
(an earlier version available here).
 Closed quantum subgroups of locally compact quantum groups (with M.Daws, P. Kasprzak and P.Sołtan), Advances in Mathematics
231 (2012), 34733501 (an earlier version available here).
 Idempotent states on locally compact quantum groups (with P.Salmi), Quarterly Journal of Mathematics 63 (2012), no. 4, 10091032 (an earlier version
available here).
 On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set, (with D.Goswami),
Banach Center Publications 98 (2012), 199214 (an earlier version
available here).
 Idempotent states on the compact quantum groups and their classification on U_{q}(2), SU_{q}(2),
and SO_{q}(3) (with U.Franz and R.Tomatsu), Journal of Noncommutative Geometry 7 (2013), no.1, 221254 (an earlier version
available here).
 Quantum symmetry groups of C*algebras equipped with orthogonal
filtrations (with T. Banica), Proceedings of the London Mathematical Society 106 (2013), no.5, 9801004
(an earlier version available here).
 Quantum random walk approximation on locally compact quantum groups (with J.M.Lindsay),
Letters in Mathematical Physics 103 (2013), no.7, 765775 (an earlier version available here).
 Inclusions of ternary rings of operators and conditional expectations (with P.Salmi), Mathematical Proceedings of the Cambridge Philosophical Society, 155 (2013),
no.3, 475482 (an earlier version available here).
 On spectral triples on crossed products arising from equicontinuous actions (with A.Hawkins, S.White and J.Zacharias), Mathematica Scandinavica, 113 (2013),
no.2, 262291
(an earlier version available here).
 Quantum FeynmanKac perturbations (with A. Belton and J.M.Lindsay), Journal of the London Mathematical Society 89 (2014) no.1, 275300 (an earlier version available
here).
 Contractive idempotents on locally compact quantum groups (with M.Neufang, P.Salmi and N.Spronk), Indiana University Mathematics Journal 62 (2013), no.6, 19832002
(an earlier version available
here).
 Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras (with M.Caspers, R.Okayasu and R.Tomatsu), Comptes Rendus
Mathematique 252 (2014), 507510
(an earlier version available here).
 Projective limits of quantum symmetry groups and the doubling construction for Hopf algebras (with P.Sołtan),
Infinite Dimensional Analysis, Quantum Probability and Related Topics 17 (2014), no.2, 1450012, 27 pages
(an earlier version available here).
 Quantum group of automorphisms of a finite quantum group (with J.Bhowmick and P.Sołtan), Journal of Algebra
423 (2015), 514537, an earlier version available
here.
 The quantum algebra of partial Hadamard matrices (with T.Banica), Linear Algebra and its Applications 469 (2015), 364380,
an earlier version available here.
 The Haagerup property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms (with M.Caspers), Communications in Mathematical Physics
336 (2015), no.3, 16371664, an earlier version available
here.
 Onetoone correspondence between generating functionals and cocycles on quantum groups in presence of symmetry (with B.Das, U.Franz and A.Kula),
Mathematische Zeitschrift 281 (2015), no.34, 949965, an earlier version available
here.
 The Haagerup property for arbitrary von Neumann algebras (with M.Caspers),
International Mathematics Research Notices 19 (2015), no.6, 98579887 (an earlier version available
here).
 The Haagerup property for locally compact quantum groups (with M.Daws, P.Fima and S.White), Journal fur die Reine und Angewandte Mathematik 711 (2016), 189229, an earlier version available here.
 Quantum families of invertible maps and related problems (with P.Sołtan), Canadian Journal of Mathematics 68 (2016), no.3, 698720, an earlier version available
here.
 Lévy Processes on Quantum Permutation Groups (with U.Franz and A.Kula), Operator Theory: Advances and Applications 252 (2016), no.3, 193259
(an earlier version available
here).
 Open quantum subgroups of locally compact quantum groups (with M.Kalantar and P.Kasprzak), Advances in Mathematics 303 (2016), no.3, 322359
(an earlier version available
here).
 Integration over the quantum diagonal subgroup and associated Fourierlike algebras (with U.Franz and H.H.Lee), International Journal of Mathematics 27 (2016), no.9, 1650073, 37 pp. (an earlier version available
here).
 Introduction to compact and discrete quantum groups (with U.Franz and P.Sołtan), Banach Center Publications 111 (2017), 931
(an earlier version available
here).
 Around Property (T) for quantum groups (with M.Daws and A.Viselter), Communications in Mathematical Physics
353 (2017), no.1, 69–118
(an earlier version available
here).
 The canonical central exact sequence for locally compact quantum groups (with P.Kasprzak and P.Sołtan), Mathematische Nachrichten
290 (2017), no.89, 13031316 (an earlier version available
here).
 Idempotent states on locally compact quantum groups II (with P.Salmi), Quarterly Journal of Mathematics
68 (2017), no.2, 421431 (an earlier version available
here).
 Actions of locally compact (quantum) groups on ternary rings of operators, their crossed products and generalized Poisson boundaries (with P.Salmi),
Kyoto Journal of Mathematics 57 (2017), no.3, 667691 (an earlier version available
here).
 Wreath products of finite groups by quantum groups (with A.Freslon), Journal of Noncommutative Geometry 12 (2018), no.1, 2968 (an earlier version available
here).
 Remarks on factoriality and qdeformations (with S.Wang), Proceedings of the AMS 146 (2018), no.9, 38133823 (an earlier version available
here).
 Quantum actions on discrete quantum spaces and a generalization of Clifford's theory of representations (with K.De Commer, P.Kasprzak and P.Sołtan),
Israel Journal of Mathematics 226 (2018), no.1, 475503 (an earlier version available
here).
 LévyKhintchine decompositions for generating functionals on universal
CQGalgebras (with B.Das, U.Franz and A.Kula), IDAQP 21 (2018), no.3, 1850017, 36 pages,
(an earlier version available
here).
 Positive HerzSchur multipliers and approximation properties of crossed
products (with A.McKee, I.Todorov and L.Turowska) Mathematical Proceedings of the Cambridge Philosophical Society 165 (2018), no.3, 511532
(an earlier version available
here).
 Convolution semigroups on locally compact quantum groups and
noncommutative Dirichlet forms (with A.Viselter), Journal de Mathématiques Pures et Appliquées
124 (2019), 59105
(an earlier version available
here).
 Quantum symmetries of the twisted tensor products of C*algebras (with J.Bhowmick, A.Mandal and S.Roy),
Communications in Mathematical Physics 368 (2019), no.3, 10511085 (an earlier version
available
here).
 On C*completions of discrete quantum group rings (with M.Caspers),
Bulletin of the London Mathematical Society 51 (2019), no.4, 691704 (an earlier version available
here).
 On MASAs in qdeformed von Neumann algebras (with M.Caspers and M.Wasilewski),
Pacific Journal of Mathematics 302 (2019), no.1, 121 (an earlier version
available
here).
 Induction for locally compact quantum groups revisited (with M.Kalantar, P.Kasprzak and P.Sołtan),
Proceedings of the Royal Society of Edinburgh Section A
150 (2020), no. 2, 1071–1093 (an earlier version available here).
 Quantum Dirichlet forms and their recent applications, in Geometric Methods in Physics XXXVII. Trends in Mathematics,
2019, pp. 246254, Birkhäuser, Cham.
 Generating functionals for locally compact quantum groups (with A.Viselter, 24 pp.), International Mathematics Research Notices (2021), no. 14, 10981–11009
(an earlier version available
here).
 On the BaumConnes conjecture for discrete quantum groups with torsion and the quantum Rosenberg Conjecture (with Y.Arano),
Proceeedings of the AMS 149 (2021), no. 12, 5237–5254
(an earlier version available
here).
back to top
