Leavitt path algebras and Thompson groups for graphs of groups

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• 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.

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