Reduced free products of completely positive maps and entropy for free product of automorphisms

DOI10.2977/prims/1195162968zbMath0857.46040OpenAlexW2092401672MaRDI QIDQ1922294

Marie Choda

Publication date: 18 September 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195162968

zbMATH Keywords

entropyautomorphism\(C^*\)-algebratensor productinvariant statefree shiftreduced free product of expectationsreduced free product of unital completely positive maps

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

Quantum symmetries and strong Haagerup inequalities, Unitary dilation of freely independent contractions, Noncommutative strong maximals and almost uniform convergence in several directions, Noncommutative maximal ergodic theorems, Approximation properties for free orthogonal and free unitary quantum groups

Cites Work

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• Dynamical entropy of C *-algebras and von Neumann algebras
• Form convex functions and the WYDL and other inequalities
• Free products of completely positive maps and spectral sets
• Injectivity and operator spaces
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• Markov traces on universal Jones algebras and subfactors of finite index
• Free Products of C ∗ -Algebras