For more information about this meeting, contact Nigel Higson.
| Title: | Subspaces of groups and generalised Pimsner-Voiculescu extensions |
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| Seminar: | Noncommutative Geometry Seminar |
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| Speaker: | Jacek Brodzki, University of Southampton |
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| Abstract: |
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| 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
| Room Number: | MB106 |
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| Date: | 09 / 20 / 2012 |
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| Time: | 02:30pm - 03:30pm |
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