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Richard Freeland, University of Cambridge
Friday 07 October 2016, 15:00-16:00
Thompson-style groups coming from C* algebras of graphs of groups
- 👤 Speaker: Richard Freeland, University of Cambridge
- 📅 Date & Time: Friday 07 October 2016, 15:00 - 16:00
- 📍 Venue: CMS, MR15
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Nicolas Dupré
Abstract
Thompson’s group V is a well-studied group of actions on the ends of the infinite binary tree. Nekrashevych showed how it arose as a group of particular unitary elements of a C star algebra, which he constructs for any group acting (sufficiently nicely) on the tree. I will describe this construction, and then explain attempts to generalize it to graphs of groups, using a C star algebra defined by Nathan Brownlowe, Anne Thomas and others. This will give a new generalization of Thompson’s group, and I will sketch some of its properties. No knowledge of C star algebras or functional analysis is required.
Series This talk is part of the Junior Algebra and Number Theory seminar series.
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