CROSSED PRODUCTS BY ENDOMORPHISMS, VECTOR BUNDLES AND GROUP DUALITY

DOI10.1142/S0129167X05002783zbMath1077.46053arXivmath/0301214MaRDI QIDQ4668489

Ezio Vasselli

Publication date: 19 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0301214

zbMATH Keywords

vector bundleCuntz-Pimsner algebracrossed productHilbert bimodulescontinuous bundle

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) Duality theorems for locally compact groups (22D35)

Related Items (7)

Bundles of \(C^{*}\)-categories ⋮ \(2-C^{*}\)-categories with non-simple units ⋮ REALIZATION OF MINIMAL C*-DYNAMICAL SYSTEMS IN TERMS OF CUNTZ–PIMSNER ALGEBRAS ⋮ Some remarks on group bundles and \(C^*\) dynamical systems ⋮ The \(C^*\)-algebra of a vector bundle and fields of Cuntz algebras ⋮ CROSSED PRODUCTS BY ENDOMORPHISMS, VECTOR BUNDLES AND GROUP DUALITY, II ⋮ GAUGE-EQUIVARIANT HILBERT BIMODULES AND CROSSED PRODUCTS BY ENDOMORPHISMS

Cites Work

• A new duality theory for compact groups
• Endomorphisms of \(C^*\)-algebras, cross products and duality for compact groups
• \(K\)-theory. An introduction. With a new postface by the author and a list of errata
• Duals of compact Lie groups realized in the Cuntz algebras and their actions on \(C^ *\)-algebras
• Equivariant KK-theory and the Novikov conjecture
• Simple \(C^*\)-algebras generated by isometries
• Ideal structure and simplicity of the \(C^*\)-algebras generated by Hilbert bimodules
• A theory of dimension
• KMS states, entropy and the variational principle in full \(C^*\)-dynamical systems
• Representable \(E\)-theory for \(C_0(X)\)-algebras
• Morita equivalence of Fedosov star products and deformed Hermitian vector bundles
• Continuous fields of \(C^*\)-algebras arising from extensions of tensor \(C^*\)-categories
• Operations on continuous bundles of \(C^*\)-algebras
• Classifying Hilbert bundles
• Hilbert C*-Bimodules Over Commutative C*-Algebras and an Isomorphism Condition for Quantum Heisenberg Manifolds
• Superselection Structures for C*-Algebras with Nontrivial Center
• A REMARK ON QUANTUM GROUP ACTIONS AND NUCLEARITY
• An index for gauge-invariant operators and the Dixmier-Douady invariant
• Déformations de $C\sp*$-algèbres de Hopf

This page was built for publication: CROSSED PRODUCTS BY ENDOMORPHISMS, VECTOR BUNDLES AND GROUP DUALITY