Positive projective space of a \(C^*\)-algebra with a tracial conditional expectation

DOI10.1007/s11117-006-2053-7zbMath1122.46037OpenAlexW2086917274MaRDI QIDQ885062

Esteban Andruchow, Lázaro Recht

Publication date: 7 June 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-006-2053-7

zbMATH Keywords

traceconditional expectationpositive operator

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Cites Work

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• A geometry on the space of probabilities. I: The finite dimensional case
• Convexity of the geodesic distance on spaces of positive operators
• Exponential sets and their geometric motions
• On the exponential metric increasing property.
• Conditional expectations and operator decompositions
• A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
• The geometry of the space of selfadjoint invertible elements in a \(C^*\)-algebra

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