On unitalC(X)-algebras andC(X)-valued conditional expectations of finite index

DOI10.1080/03081087.2016.1158231zbMath1369.46045OpenAlexW2311325124MaRDI QIDQ2953390

Ilja Gogić, Etienne F. Blanchard

Publication date: 4 January 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1158231

zbMATH Keywords

\(C(X)\)-algebraconditional expectation of finite index\(C^*\)-bundlenon-commutative branched covering

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (2)

\({C}^{\ast}\)-superrigidity of 2-step nilpotent groups ⋮ Geometric essence of ``compact operators on Hilbert \(C^\ast\)-modules

Cites Work

• Quantization of branched coverings
• Factorization in group algebras
• The structure of algebras of operator fields
• Extension of Jones' theory on index of arbitrary factors
• On conditional expectations arising from group actions
• Index for subfactors
• Jones index theory for Hilbert \(C^*\)-bimodules and its equivalence with conjugation theory
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Normed algebras
• Hilbert C^*-modules from group actions: beyond the finite orbits case
• On the projection of norm one in $W^ *$-algebras
• Quasi-standard C*-algebras
• Derivations which are inner as completely bounded maps
• Entropy and index for subfactors
• Density Theorems for the Centre of a C^* -Algebra
• Discrete groups actions and corresponding modules
• Déformations de $C\sp*$-algèbres de Hopf
• On derivations and elementary operators on C*-algebras
• Recursive subhomogeneous algebras

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