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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 groupsAdd to your list(s) Download to your calendar using vCal - Richard Freeland
- Wednesday 27 November 2019, 16:30-17:30
- MR12.
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. ## This talk is included in these lists:- Algebra and Representation Theory Seminar
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