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EXOTIC GROUP ALGEBRAS, CROSSED PRODUCTS, AND COACTIONS
- Prelegent(ci)
- MAGNUS B. LANDSTAD
- Afiliacja
- Norges teknisk-naturvitenskapelige universitet, Trondheim, Norway
- Termin
- 18 października 2023 17:15
- Informacje na temat wydarzenia
- 405 IMPAN & ZOOM
- Seminarium
- North Atlantic Noncommutative Geometry Seminar
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*(GxA) and the reduced crossed product C*_r(GxA). 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 looking also 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.
