On the Stone-Weierstrass theorem of \(C^ *\)-algebras

DOI10.2748/tmj/1178242812zbMath0211.16001OpenAlexW1979639831MaRDI QIDQ2544067

Shôichirô Sakai

Publication date: 1970

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178242812

Mathematics Subject Classification ID

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

Related Items (10)

A Bishop-Stone-Weierstrass theorem for \((\mathcal M_2(\mathbb C))^n\) ⋮ Pure states as a dual object for C*-algebras ⋮ Complements to various Stone-Weierstrass theorems for \(C^*\)-algebras and a theorem of Shultz ⋮ Injectivity and operator spaces ⋮ Geometrical state theory, the von Neumann boundary, and duality of the \(C^*\)-algebras ⋮ Tensor products of operator algebras ⋮ Semiregular maximal Abelian *-subalgebras and the solution to the factor state Stone-Weierstrass problem ⋮ Extensions of pure states and projections of norm one ⋮ Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions ⋮ Equivalent conditions for the general Stone-Weierstrass problem

Cites Work

• A Stone-Weierstrass theorem for \(C^*\)-algebras
• Type I \(C^ *\)-algebras
• Conditional expectation in an operator algebra
• IRREDUCIBLE OPERATOR ALGEBRAS
• Two finite, non‐hyperfinite, non‐isomorphic factors
• On the reduction theory of von Neumann
• On a characterization of type I 𝐶*-algebras
• The Structure of Certain Operator Algebras
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