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C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type

Published 22 Jul 2018 in math.OA, math.GR, and math.KT | (1807.08288v2)

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.

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Authors (3)

  1. Xin Li 
  2. Tron Omland 
  3. Jack Spielberg 

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