University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Leavitt path algebras and Thompson groups for graphs of groups

Leavitt path algebras and Thompson groups for graphs of groups

Add to your list(s) Download to your calendar using vCal

  • UserRichard Freeland
  • ClockWednesday 27 November 2019, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

Thompson’s group V is a group of permutations of the ends of a binary tree, which is well-studied for its many interesting properties, which often resemble finite symmetric groups. It can be defined as a group of unitary elements of a Leavitt path algebra, which acts on paths in a graph by adding or removing edges. In this seminar, we discuss constructions which add tree automorphisms to Thompson groups and Leavitt path algebras. We describe tree automorphisms using the Bass-Serre theory of graphs of groups. Finally, we consider which properties of V remain true for the new groups, focusing on simplicity properties.

This talk is part of the Algebra and Representation Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity