CUNTZ–PIMSNER ALGEBRAS FOR SUBPRODUCT SYSTEMS

DOI10.1142/S0129167X12500814zbMath1260.46039arXiv1107.2812MaRDI QIDQ2909478

Ami Viselter

Publication date: 30 August 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2812

zbMATH Keywords

Cuntz-Pimsner algebraMorita equivalenceHilbert moduleToeplitz algebrasubproduct system

Mathematics Subject Classification ID

(C^*)-modules (46L08) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (10)

C*-envelopes of tensor algebras arising from stochastic matrices ⋮ Operator algebras of monomial ideals in noncommuting variables ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ Subproduct systems with quantum group symmetry ⋮ Crossed Products of Operator Algebras ⋮ Toeplitz quotient \(C^*\)-algebras and ratio limits for random walks ⋮ Toeplitz Extensions in Noncommutative Topology and Mathematical Physics ⋮ Operator algebras and subproduct systems arising from stochastic matrices ⋮ Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball ⋮ Essential normality, essential norms and hyperrigidity

Cites Work

• Index computation for amalgamated products of product systems
• The isomorphism problem for some universal operator algebras
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• Ideal structure of \(C^*\)-algebras associated with \(C^*\)-correspondences
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Unit vectors, Morita equivalence and endomorphisms
• Tensor algebras of \(C^{\ast}\)-correspondences and their \(C^{\ast}\)-envelopes
• On the Morita Equivalence of Tensor Algebras
• Covariant representations of subproduct systems
• INCLUSION SYSTEMS AND AMALGAMATED PRODUCTS OF PRODUCT SYSTEMS
• K-Theory for $C^*$-algebras associated with subshifts
• Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules
• On C*-Algebras Associated with Subshifts
• Representations of Cuntz-Pimsner algebras
• ESSENTIAL REPRESENTATIONS OF C*-CORRESPONDENCES

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