Research group:
New Results in Noncommutative Topology
27 October - 8 November, 2011, Warsaw
This research group is focused on, though not restricted to, a verification of two new results obtained by its participants. The first result, due to Kenny de Commer, claims that all modules associated to free actions of compact quantum groups on unital C*-algebras via finite-dimensional representations are finitely generated projective. This technical result in functional analysis should allow one to upgrade the Baum-Hajac theorem on the equivalence of compact principal bundles and principal comodule algebras to compact quantum principal bundles. The second result, due to Makoto Yamashita, claims to generalize the celebrated Borsuk-Ulam theorem from classical spheres to the quantum spheres studied by Hong and Szymanski. Here main tools are equivariant KK-theory and continuous fields of C*-algebras.
Organizer
- Piotr M. Hajac
Programme
| Thursday, 3rd of November (University of Warsaw, Faculty of Physics, Department of Mathematical Methods in Physics, 74, Hoża str.) |
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| 10:15-12:00 | M. Yamashita (Università degli Studi di Roma "Tor Vergata", Italy) CONTINUOUS DEFORMATION OF ALGEBRAS |
| Thursday, 3rd of November (lecture room 322) |
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| 13:15-14:45 |
W. Szymanski (Syddansk Universitet, Odense, Denmark) THE CUNTZ ALGEBRA QN AND C*-ALGEBRAS OF PRODUCT SYSTEMS |
| Monday, 7th of November (lecture room 322) |
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| 10:15-11:45 | K. De Commer (Universite de Cergy-Pontoise, France) PRINCIPAL COMPACT QUANTUM GROUP ACTIONS ON UNITAL C*-ALGEBRAS ARE GALOIS |
| 14:15-15:45 | M. Yamashita (Università degli Studi di Roma "Tor Vergata", Italy) EQUIVARIANT COMPARISON OF QUANTUM HOMOGENEOUS SPACES |
Participants
- K. De Commer (Universite de Cergy-Pontoise, France)
- P. M. Hajac (IMPAN/UW)
- P. Kasprzak (IMPAN/UW)
- T. Maszczyk (IMPAN/UW)
- Jan Rudnik
- A. Skalski (IMPAN)
- W. Szymanski (Syddansk Universitet, Odense, Denmark)
- M. Yamashita (Universita degli Studi di Roma "Tor Vergata", Italy)