Higher dimensional generalizations of the Thompson groups via higher rank graphs

Authors

Mark V. Lawson, Heriot-Watt University
Aidan Sims, University of Wollongong
Alina Vdovina, City College of New York

Publication Name

Journal of Pure and Applied Algebra

Abstract

We construct a family of groups from suitable higher rank graphs which are higher dimensional generalizations of the Thompson groups. We introduce group invariants, inspired by the K-theory of C⁎-algebras, and show that many of our groups are not isomorphic to the Brin-Thompson groups nV, when n≥2.

Open Access Status

This publication may be available as open access

Volume

228

Issue

1

Article Number

107456