Infinite dimensional homogeneous reductive spaces and finite index conditional expectations

zbMath0878.46044MaRDI QIDQ1358716

Lázaro Recht, Esteban Andruchow, Demetrio Stojanoff, Angel R. Larotonda

Publication date: 14 December 1997

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

zbMATH Keywords

von Neumann algebraorbitreductive structureisotropy groupgeodesic curvesinvariant Finsler metricJones' index theoryfaithful conditional expectation\(C^*\)-algebra contextGrassmannians of a \(C^*\)-algebraJones' like extensionnatural basic representationselfadjoint homogeneous reductive spacespace of selfadjoint projectionsStinespring's theoremunitary group of a \(C^*\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Subfactors and their classification (46L37)

Related Items (7)

Geometry and the Jones projection of a state ⋮ Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve ⋮ Holomorphic geometric models for representations of \(C^*\)-algebras ⋮ Larotonda spaces: Homogeneous spaces and conditional expectations ⋮ Convexity properties of \(tr[(a^*a)^n\)] ⋮ The Weyl group and the normalizer of a conditional expectation ⋮ Coherent state map quantization in a Hermitian-like setting

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