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Measure equivalence classification of right-angled Artin groups: the finite $\mathrm{Out}$ classes

Camille Horbez and Jingyin Huang
Vol. 8 (2026), No. 1, 135–156
DOI: 10.2140/tunis.2026.8.135
Abstract

Given a right-angled Artin group G with finite outer automorphism group, we determine which right-angled Artin groups are measure equivalent (or orbit equivalent) to G.

Keywords
measure equivalence, right-angled Artin groups
Mathematical Subject Classification
Primary: 20F36, 20F65, 37A20
Milestones
Received: 15 December 2024
Revised: 25 February 2025
Accepted: 27 March 2025
Published: 14 February 2026
Authors
Camille Horbez
Laboratoire de Mathématiques d’Orsay
CNRS, Université Paris-Saclay
Orsay
France
Jingyin Huang
Department of Mathematics
The Ohio State University
Columbus, OH
United States
© 2026 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).