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SUMMARY:Leavitt path algebras and Thompson groups for graphs of groups - R
 ichard Freeland
DTSTART:20191127T163000Z
DTEND:20191127T173000Z
UID:TALK135187@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:Thompson's group V is a group of permutations of the ends of a
  binary tree\,\nwhich is well-studied for its many interesting properties\
 , which often\nresemble finite symmetric groups. It can be defined as a gr
 oup of unitary\nelements of a Leavitt path algebra\, which acts on paths i
 n a graph by adding\nor removing edges. In this seminar\, we discuss const
 ructions which add tree\nautomorphisms to Thompson groups and Leavitt path
  algebras. We describe tree\nautomorphisms using the Bass-Serre theory of 
 graphs of groups. Finally\, we\nconsider which properties of V remain true
  for the new groups\, focusing on\nsimplicity properties.\n
LOCATION:MR12
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