Noncommutative Geometry of Quantum SU(2) revisited
17 - 19 December, 2012, Warsaw
Organizer
- Piotr M. Hajac (IMPAN/University of Warsaw)
Programme
17 December 2012, 10:15-12:00
EXAMPLES OF MODULAR FREDHOLM MODULES
I will present examples of modular Fredholm modules for SUq(2) and the family of Podles. spheres. This will include the "standard" modular Fredholm modules (based on irreducible representations) as well as modular Fredholm modules arising from spectral triples. The latter construction shall be used to discuss how to find generators of the C*-algebra of the Heegaard and mirror quantum spheres that would be suitable to describe their geometry.
ANDRZEJ SITARZ (Uniwersytet Jagiellonski, Krakow, Poland)
17 December 2012, 14:15-16:00
CLASSIFICATION OF QUANTUM HOMOGENEOUS SPACES
We study actions of compact quantum groups in operator algebras from the categorical point of view. The ergodic actions admit particularly nice classification in terms of the category of equivariant Hilbert modules. For the case of quantum SU(2), we obtain a simple description of equivariant homomorphisms and K-groups based on the categorical structure of such modules. Based on joint work with Kenny De Commer.
MAKOTO YAMASHITA (Ochanomizu University, Tokyo, Japan)
Participants
- Pawel L. Kasprzak (University of Warsaw/IMPAN)
- Tomasz Maszczyk (University of Warsaw/IMPAN)
- Jan Rudnik (IMPAN)
- Andrzej Sitarz (Jagiellonian University)
- Adam Skalski (IMPAN/University of Warsaw)
- Piotr M. Soltan (University of Warsaw)
- Makoto Yamashita (Ochanomizu University, Tokyo, Japan)
- Stanislaw L. Woronowicz (University of Warsaw)
- Bartosz Zielinski (University of Lodz)