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

Xin Li; Tron Omland; Jack Spielberg

doi:10.1007/s00220-020-03758-5

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

Xin Li, Tron Omland, Jack Spielberg

Mathematical and Statistical Sciences, School of (SoMSS)

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

9 Scopus citations

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 language	English (US)
Pages (from-to)	1263-1308
Number of pages	46
Journal	Communications in Mathematical Physics
Volume	381
Issue number	3
DOIs	https://doi.org/10.1007/s00220-020-03758-5
State	Published - Feb 2021

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-020-03758-5

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

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.",

author = "Xin Li and Tron Omland and Jack Spielberg",

note = "Funding Information: The second author is funded by the Research Council of Norway through FRINATEK, Project No. 240913ieq2297 Publisher Copyright: {\textcopyright} 2020, The Author(s).",

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AB - 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.

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

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