C*-Algebras of Right LCM One-Relator Monoids and Artin–Tits Monoids of Finite Type
Xin Li, Tron Omland, Jack Spielberg
Abstract
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.
Topics & Concepts
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