C*-Algebras of Right LCM One-Relator Monoids and Artin–Tits Monoids of Finite Type

Xin Li, Tron Omland, Jack Spielberg

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
JournalCommunications in Mathematical Physics
DOIs
StateAccepted/In press - 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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