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

2018/07/22 by Li, Xin, Omland, Tron, Spielberg, Jack
#20M05 #46L80 #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Primary 46L05 #Secondary 20F36

paper · doi:10.48550/arxiv.1807.08288

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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