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arXiv · 1807.08288

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

Xin Li·Tron Omland·Jack Spielberg
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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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BibTeXRIS

Xin Li, Tron Omland, Jack Spielberg. 2018-07-22. C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type. https://arxiv.org/abs/1807.08288

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