For more information about this meeting, contact Nigel Higson.
|Title:||Subspaces of groups and generalised Pimsner-Voiculescu extensions|
|Seminar:||Noncommutative Geometry Seminar|
|Speaker:||Jacek Brodzki, University of Southampton|
|A metric subspace X of a discrete group G carries a natural C*-algebra induced from the (right) reduced C*-algebra of the group. When the complement of X is not coarsely dense in G, there exists a homomorphism from the C*-algebra of X to the reduced C*-algebra of G which is part of a C*-algebra extension. Extensions of this type generalise those studied by Pimsner and Voiculescu in the case of free groups and groups acting on trees. I will illustrate this construction in a number of cases, including almost-invariant subspaces of groups, amalgamated free products, and others. An important motivation for this study is the problem of computing the K-theory of the reduced C*-algebra of G and I will indicate how our construction might help with that.|
Room Reservation Information
|Date:||09 / 20 / 2012|
|Time:||02:30pm - 03:30pm|