TY - JOUR
T1 - Higher dimensional generalizations of the Thompson groups via higher rank graphs
AU - Lawson, Mark V.
AU - Sims, Aidan
AU - Vdovina, Alina
PY - 2024/1
Y1 - 2024/1
N2 - 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 .
AB - 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 .
UR - http://www.scopus.com/inward/record.url?scp=85161939782&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2023.107456
DO - 10.1016/j.jpaa.2023.107456
M3 - Article
SN - 0022-4049
VL - 228
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 1
M1 - 107456
ER -