Speaker: Makoto Yamashita (Ochanomizu University)
Title: Classification of quantum homogeneous spaces
Time/Date: 4:30-6:00pm, Wednesday, October 23, 2013
Room: 118 Math. Sci. Building
Abstract: We study actions of compact quantum groups on operator algebras from the categorical point of view. The ergodic actions admit particularly nice classification in terms of the category of equivariant Hilbert modules. In the case of quantum SU(2), we obtain a simple description of equivariant homomorphisms and K-groups in terms of certain weighted graphs, based on the categorical structure of such modules. Based on joint work with Kenny De Commer.