Complements to various Stone-Weierstrass theorems for \(C^*\)-algebras and a theorem of Shultz

DOI10.1007/BF02099015zbMath0778.46035OpenAlexW1976547104MaRDI QIDQ1189191

Lawrence G. Brown

Publication date: 26 September 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099015

zbMATH Keywords

Stone-Weierstrass theorem for non-commutative \(C^*\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (6)

FRAME-LESS HILBERT C*-MODULES ⋮ The disappearance of causality at small scale in almost-commutative manifolds ⋮ A Hilbert bundle characterization of Hilbert C*-modules ⋮ Transition probabilities of normal states determine the Jordan structure of a quantum system ⋮ Poisson Spaces with a Transition Probability ⋮ Pure state transformations induced by linear operators

Cites Work

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• A Stone-Weierstrass theorem for \(C^*\)-algebras
• Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions
• Pure states as a dual object for C*-algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• The general Stone-Weierstrass problem
• On the Stone-Weierstrass theorem of \(C^ *\)-algebras
• Order ideals in a \(C^*\)-algebra and its dual
• Semicontinuity and Multipliers of C*-Algebras
• States and Representations
• On the ideal structure of operator algebras
• Double Centralizers and Extensions of C ∗ -Algebras

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