Higher dimensional generalizations of the Thompson groups via higher rank graphs

Mark V. Lawson; Aidan Sims; Alina Vdovina

doi:10.1016/j.jpaa.2023.107456

Higher dimensional generalizations of the Thompson groups via higher rank graphs

Mark V. Lawson
, Aidan Sims
, Alina Vdovina

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

35 Downloads (Pure)

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 .

Original language	English
Article number	107456
Journal	Journal of Pure and Applied Algebra
Volume	228
Issue number	1
Early online date	5 Jun 2023
DOIs	https://doi.org/10.1016/j.jpaa.2023.107456
Publication status	Published - Jan 2024

Access to Document

10.1016/j.jpaa.2023.107456

Download pdf
© 2023 Elsevier B.V.
Accepted author manuscript, 531 KBLicence: CC BY-NC-ND

Cite this

@article{17c1b50567e442058d60bd9390a54afd,

title = "Higher dimensional generalizations of the Thompson groups via higher rank graphs",

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 .",

author = "Lawson, \{Mark V.\} and Aidan Sims and Alina Vdovina",

year = "2024",

month = jan,

doi = "10.1016/j.jpaa.2023.107456",

language = "English",

volume = "228",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "1",

}

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 - https://www.scopus.com/pages/publications/85161939782

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 -

Higher dimensional generalizations of the Thompson groups via higher rank graphs

Abstract

Access to Document

Other files and links

Fingerprint

Cite this