Holomorphic geometric models for representations of \(C^*\)-algebras

DOI10.1016/j.jfa.2008.07.001zbMath1166.22012arXiv0707.0806OpenAlexW2762541078MaRDI QIDQ960553

José E. Galé, Daniel Beltiţă

Publication date: 22 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0806

zbMATH Keywords

\(C^*\)-algebrarepresentationconditional expectationreproducing kernelhomogeneous vector bundlegeometric analysisBanach-Lie groupsimilarity orbitamenable Banach algebraStinespring dilation

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Related Items (13)

Schur-Weyl Theory for C *-algebras ⋮ Holomorphic spectral theory: a geometric approach ⋮ Geometric Perspectives on Reproducing Kernels ⋮ Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve ⋮ Differential algebras with Banach-algebra coefficients. II: The operator cross-ratio tau-function and the Schwarzian derivative ⋮ Coadjoint Orbits and the Beginnings of a Geometric Representation Theory ⋮ Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions ⋮ Linear connections for reproducing kernels on vector bundles ⋮ Universal objects in categories of reproducing kernels ⋮ Decompositions and complexifications of some infinite-dimensional homogeneous spaces ⋮ Coherent state map quantization in a Hermitian-like setting ⋮ Holomorphic Realization of Unitary Representations of Banach–Lie Groups ⋮ Banach algebras associated to Lax pairs

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