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SUMMARY:Thompson-style groups coming from C* algebras of graphs of groups 
 - Richard Freeland\, University of Cambridge
DTSTART:20161007T140000Z
DTEND:20161007T150000Z
UID:TALK67697@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:Thompson's group V is a well-studied group of actions on the e
 nds of the infinite binary tree. Nekrashevych showed how it arose as a gro
 up of particular unitary elements of a C star algebra\, which he construct
 s for any group acting (sufficiently nicely) on the tree. I will describe 
 this construction\, and then explain attempts to generalize it to graphs o
 f groups\, using a C star algebra defined by Nathan Brownlowe\, Anne Thoma
 s and others. This will give a new generalization of Thompson's group\, an
 d I will sketch some of its properties. No knowledge of C star algebras or
  functional analysis is required.
LOCATION:CMS\, MR15
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