Completely positive stochastic linear maps over AFD-factors and unitary mixing on generating U.H.F.-subalgebras

DOI10.2977/PRIMS/1195177064zbMath0623.46026OpenAlexW2027739078MaRDI QIDQ1091571

Peter M. Alberti

Publication date: 1986

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/1195177064

zbMATH Keywords

completely positive mapstochastic mapUHF algebran-tuples of normal statesproperly infinite AFD factorunitary mixing

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Classical equilibrium statistical mechanics (general) (82B05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30)

Cites Work

• A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
• On the simultaneous transformation of density operators by means of a completely positive, unity preserving linear map
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Tensor products of operator algebras
• Unitary operators in \(C^ *\)-algebras
• The Equivalence of Various Definitions for a Properly Infinite Von Neumann Algebra to be Approximately Finite Dimensional
• Nuclear C ∗ -Algebras and the Approximation Property
• Analyticity in Operator Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Completely positive stochastic linear maps over AFD-factors and unitary mixing on generating U.H.F.-subalgebras