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Geometrical state theory, the von Neumann boundary, and duality of the \(C^*\)-algebras

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Publication:1232802
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DOI10.1007/BF01090295zbMath0344.46122MaRDI QIDQ1232802

Anatoly M. Vershik

Publication date: 1972

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Ideals, maximal ideals, boundaries (46J20) Duality theorems for locally compact groups (22D35)


Related Items

Krein duality, positive 2-algebras, and the dilation of comultiplications. ⋮ Unique decompositions, faces, and automorphisms of separable states



Cites Work

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  • Unitary operators in \(C^ *\)-algebras
  • Type I \(C^ *\)-algebras
  • Representations of uniformly hyperfinite algebras and their associated von Neumann rings
  • On the Stone-Weierstrass theorem of \(C^ *\)-algebras
  • Isometries of operator algebras
  • Borel Structure in Groups and Their Duals
  • Group duality and isomorphisms of Fourier and Fourier-Stieltjes algebras from a 𝑊*-algebra point of view
  • Duality and von Neumann algebras
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