Contributions to the theory of $\mathrm{C}^{*}$-correspondences with applications to multivariable dynamics

DOI10.1090/S0002-9947-2012-05627-3zbMath1292.46043arXiv1101.1482OpenAlexW2963494480MaRDI QIDQ2844852

Evgenios T. A. Kakariadis, Elias G. Katsoulis

Publication date: 20 August 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1482

zbMATH Keywords

crossed products\(C^*\)-envelopeCuntz-Pimsner algebras\(C^*\)-correspondences

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Representations of (nonselfadjoint) operator algebras (47L55) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items (13)

C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems ⋮ The isomorphism problem for tensor algebras of multivariable dynamical systems ⋮ Semicrossed products of \(C^*\)-algebras and their \(C^*\)-envelopes ⋮ Relative Morita equivalence of Cuntz–Krieger algebras and flow equivalence of topological Markov shifts ⋮ \(\mathrm C^*\)-envelopes of semicrossed products by lattice ordered abelian semigroups ⋮ Couniversality and controlled maps on product systems over right LCM semigroups ⋮ \(C^\ast\)-algebras and equivalences for \(C^\ast\)-correspondences ⋮ Isomorphism invariants for multivariable \(C^\ast\)-dynamics ⋮ Semicrossed products of operator algebras by semigroups ⋮ C*-envelope and dilation theory of semigroup dynamical systems ⋮ Operator algebras for higher rank analysis and their application to factorial languages ⋮ Semicrossed products of the disk algebra ⋮ KMS states on Pimsner algebras associated with \(C^\ast\)-dynamical systems

Cites Work

• Semicrossed products of operator algebras and their \(C^*\)-envelopes
• On \(C^*\)-algebras associated with \(C^*\)-correspondences
• Isomorphisms of algebras associated with directed graphs
• Semi-crossed products of C*-algebras
• Injective envelopes of operator systems
• Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• Adding tails to \(C^*\)-correspondences
• Tensor algebras of \(C^{\ast}\)-correspondences and their \(C^{\ast}\)-envelopes
• Semicrossed products of the disk algebra
• Semicrossed Products and Reflexivity
• Operator algebras for multivariable dynamics
• Graphs of $C^*$-correspondences and Fell bundles
• C^*-envelopes of tensor algebras for multivariable dynamics
• The Crossed Product of a C ∗ -Algebra by an Endomorphism
• On the Simplicity of some Cuntz-Pimsner Algebras
• The Toeplitz algebra of a Hilbert bimodule
• Cuntz-Krieger algebras of infinite graphs and matrices
• Representations of Cuntz-Pimsner algebras
• Non-commutative disc algebras and their representations
• The C$^*$-envelope of a semicrossed product and Nest Representations
• Dilations of \(C^*\)-correspondences and the simplicity of Cuntz-Pimsner algebras
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