$C^*$-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras

DOI10.1090/S0002-9947-2012-05748-5zbMath1276.46048arXiv0906.4382OpenAlexW2168676387WikidataQ56780052 ScholiaQ56780052MaRDI QIDQ2839382

Bartosz Kosma Kwaśniewski

Publication date: 5 July 2013

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

Full work available at URL: https://arxiv.org/abs/0906.4382

zbMATH Keywords

Doplicher-Roberts algebrarelative Cuntz-Pimsner algebraright tensor \(C^\ast\)-precategory

Mathematics Subject Classification ID

(C^*)-modules (46L08) Graphs, diagram schemes, precategories (18A10)

Related Items (14)

Topological aperiodicity for product systems over semigroups of Ore type ⋮ Topological freeness for \(C^{\ast}\)-correspondences ⋮ Operator algebras of monomial ideals in noncommuting variables ⋮ Morita equivalence of \(C^*\)-correspondences passes to the related operator algebras ⋮ Ideal structure and pure infiniteness of inverse semigroup crossed products ⋮ On transfer operators for \(C^*\)-dynamical systems ⋮ \(C^\ast\)-algebras and equivalences for \(C^\ast\)-correspondences ⋮ Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles ⋮ A note on the gauge invariant uniqueness theorem for \( C^\ast\)-correspondences ⋮ Topological freeness for Hilbert bimodules ⋮ Crossed products by endomorphisms of \(C_{0}(X)\)-algebras ⋮ Nica-Toeplitz algebras associated with product systems over right LCM semigroups ⋮ Nica–Toeplitz algebras associated with right-tensor C∗-precategories over right LCM semigroups ⋮ Ideal structure of crossed products by endomorphisms via reversible extensions of C*-dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On transfer operators for \(C^*\)-dynamical systems
• A new duality theory for compact groups
• On \(C^*\)-algebras associated with \(C^*\)-correspondences
• Crossed product of a \(C^{*}\)-algebra by a semigroup of endomorphisms generated by partial isometries
• Ideal structure of \(C^*\)-algebras associated with \(C^*\)-correspondences
• \(W^ *\)-categories
• Simple \(C^*\)-algebras generated by isometries
• Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
• Ideal structure and simplicity of the \(C^*\)-algebras generated by Hilbert bimodules
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• The \(C^*\)-algebras of row-finite graphs
• Adding tails to \(C^*\)-correspondences
• Crossed products by endomorphisms and reduction of relations in relative Cuntz-Pimsner algebras
• Bundles of \(C^{*}\)-categories
• Covariance algebra of a partial dynamical system
• Crossed product of aC*-algebra by an endomorphism, coefficient algebras and transfer operators
• Exel's crossed product and relative Cuntz–Pimsner algebras
• The C*-algebra of a Hilbert Bimodule
• Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules
• The Toeplitz algebra of a Hilbert bimodule
• Crossed Products by Semigroups of Endomorphisms and the Toeplitz Algebras of Ordered Groups
• Representations of Cuntz-Pimsner algebras
• Shape theory for $C^*$-algebras.
• A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results

This page was built for publication: $C^*$-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras