Abelian strict approximation in $AW^*$-algebras and Weyl-von Neumann type theorems

DOI10.1090/S0002-9947-08-04598-4zbMath1154.46029arXivmath/0606302OpenAlexW2033899087MaRDI QIDQ3522285

László Zsidó, Claudio D'Antoni

Publication date: 1 September 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606302

zbMATH Keywords

strict topologycontinuous semi-finite \(AW^*\)-algebranorm-closed linear span of all finite projectionsstrict approximabilityWeyl-von Neumann-Berg-Sikonia type theorems

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

Related Items (1)

Bohrification of operator algebras and quantum logic

Cites Work

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• Operator algebras with a faithful weakly-closed representation
• Multipliers of \(AW^*\)-algebras
• Left and right projections are equivalent in Rickart \(C^*\)-algebras
• Dimension functions and traces on C*-algebras
• Diagonality in \(C^*\)-algebras
• Type decomposition for von Neumann algebra embeddings
• \(C^*\)-algebras of real rank zero
• The Weyl-von Neumann theorem in semifinite factors
• The commutation theorem for tensor products over von Neumann algebras
• Rickart \(C^*\)-algebras are \(\sigma\)-normal
• \(AW^*\)-algebras are \(QW^*\)-algebras
• Projections in Banach algebras
• Algebras of type I
• Quasitraces on exact C*-algebras are traces
• Diagonalizing Matrices
• K 1 -Groups, Quasidiagonality, and Interpolation by Multiplier Projections
• GENERALIZED WEYL-VON NEUMANN THEOREMS
• Ideal perturbations of elements in $C^*$-Algebras.
• A Solution of the Matrix Problem for RickartC*-Algebras
• The Weyl-Von Neumann Theorem for Multipliers Of Some Af-Algebras
• Generalized Weyl-von Neumann Theorems (II).
• The Strict Topology for Double Centralizer Algebras
• Operator Algebras with Weakly Closed Abelian Subalgebras
• The generalized Berg theorem and BDF-theorem

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