Author:
Li Xin,Omland Tron,Spielberg Jack
Abstract
AbstractWe 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.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Reference53 articles.
1. Adian, S.I.: Defining relations and algorithmic problems for groups and semigroups. Trudy Mat. Inst. Steklov. 85, 1–123 (1966)
2. Anantharaman-Delaroche, C.: Purely infinite $$C^*$$-algebras arising from dynamical systems. Bull. Soc. Math. France 125(2), 199–225 (1997)
3. Béguin, C., Bettaieb, H., Valette, A.: K-theory for C*-algebras of one-relator groups. K-Theory 16(3), 277–298 (1999)
4. Texts and Monographs in Computer Science,;RV Book,1993
5. Bourbaki, N.: Groupes et algèbres de Lie, Chaps. 4-6, Masson, Paris - New York - Barcelone - Milan - Mexico - Rio de Janeiro (1981)
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