Boundary quotients and ideals of Toeplitz \(C^{*}\)-algebras of Artin groups

DOI10.1016/j.jfa.2006.08.001zbMath1112.46051arXivmath/0604122OpenAlexW2095002919MaRDI QIDQ859641

Marcelo Laca, John Crisp

Publication date: 16 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604122

zbMATH Keywords

Artin groupToeplitz algebracovariant isometric representationNica spectrumquasi-lattice order

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of (C^*)-algebras (46L05)

Related Items (38)

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Cites Work

• K-theory for certain C*-algebras
• Simple \(C^*\)-algebras generated by isometries
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• \(K\)-theory for partial crossed products by discrete groups
• Semigroup crossed products and the Toeplitz algebras of nonabelian groups
• On the Toeplitz algebras of right-angled and finite-type Artin groups
• Kommutationsgleichungen in semifreien gruppen
• Partial actions of groups and actions of inverse semigroups
• Crossed Products by Semigroups of Endomorphisms and the Toeplitz Algebras of Ordered Groups
• Characterisations of crossed products by partial actions
• Partial dynamical systems and C*-algebras generated by partial isometries
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• The 𝐶*-algebra generated by an isometry
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