Exotic group algebras, crossed products, and coactions
Magnus Landstad (Norwegian University of Science and Technology, Norway)
Abstract: If $G$ is a locally compact group, we have the full group C*-algebra $C^*(G)$ and the reduced $C^*_r(G)$. We call a C*-algebra properly between $C^*(G)$ and $C^*_r(G)$ exotic.
Similarly, if $G$ acts on a C*-algebra $A$ we can form the full crossed product $C^*(G\ltimes A)$ and the reduced crossed product $C^*_r(G\ltimes A)$. An exotic crossed product is a C*-algebra properly between the two. Work by Baum, Guentner, and Willett show that these algebras are relevant to the Baum-Connes conjecture.
We think that the best way to study these algebras is by also looking at the corresponding dual theory of coactions. I will discuss some of these aspects, but there will be more questions than answers.
This is joint work with Steve Kaliszewski and John Quigg.
operator algebras
Audience: researchers in the topic
Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |