Quasi-automorphisms of the infinite rooted 2-edge-coloured binary tree

2014/12/24 by Nucinkis, Brita E. A., John-Green, Simon St · 1 citation
#20J05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1412.7715

Abstract

We study the group QV, the self-maps of the infinite 2-edge coloured binary tree which preserve the edge and colour relations at cofinitely many locations. We introduce related groups QF, QT, QT, and QV, prove that QF, QT, and QV are of type F_∞, and calculate finite presentations for them. We calculate the normal subgroup structure and rational homology of all 5 groups, the Bieri--Neumann--Strebel--Renz invariants of QF, and discuss the relationship of all 5 groups with other generalisations of Thompson's groups.

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• On Similarity Structure Groups and their W^* and C^*-Algebras

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