Li, X. , Omland, T. and Spielberg, J. (2021) C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type. Communications in Mathematical Physics, 381(3), pp. 1263-1308. (doi: 10.1007/s00220-020-03758-5)
![[img]](https://eprints.gla.ac.uk/style/images/fileicons/text.png) |
Text
214027.pdf - Published Version Available under License Creative Commons Attribution. 694kB |
Abstract
We study C*-algebras generated by left regular representations of right LCM one-relator monoids and Artin-Tits monoids of finite type. We obtain structural results concerning nuclearity, ideal structure and pure infiniteness. Moreover, we compute K-theory. Based on our K-theory results, we develop a new way of computing K-theory for certain group C*-algebras and crossed products.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Li, Professor Xin |
| Authors: | Li, X., Omland, T., and Spielberg, J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Communications in Mathematical Physics |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| ISSN (Online): | 1432-0916 |
| Published Online: | 23 May 2020 |
| Copyright Holders: | Copyright © 2020 The Authors |
| First Published: | First published in Communications in Mathematical Physics 381(3): 1263-1308 |
| Publisher Policy: | Reproduced under a Creative Commons License |
| Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details