Thompsonstyle groups coming from C* algebras of graphs of groups
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 Richard Freeland, University of Cambridge
 Friday 07 October 2016, 15:0016:00
 CMS, MR15.
If you have a question about this talk, please contact Nicolas DuprÃ©.
Thompson’s group V is a wellstudied 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.
This talk is part of the Junior Algebra/Logic/Number Theory seminar series.
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