The Slice Map Problem for σ-Weakly Closed Subspaces of Von Neumann Algebras

DOI10.2307/1999389zbMath0525.46036OpenAlexW4231944731MaRDI QIDQ3039944

Jon Kraus

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/1999389

zbMATH Keywords

semidiscrete von Neumann algebrasspectral subspacefinite widthW*-dynamical systemW*-dynamical systemscompletely distributivecommutative subspace lattice with totally atomic coreproperty S-sigmaslice mapstensor products of C*-algebras and von Neumann algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Abstract operator algebras on Hilbert spaces (47L30) Tensor products in functional analysis (46M05)

Related Items (17)

Poisson boundaries of II₁ factors ⋮ Transference and preservation of uniqueness ⋮ Herz-Schur multipliers of dynamical systems ⋮ On tensor products of von Neumann algebras ⋮ Factorization of completely bounded maps through reflexive operator spaces with applications to weak almost periodicity ⋮ Amplification of completely bounded operators and Tomiyama's slice maps. ⋮ The slice map problem and approximation properties ⋮ Property \(\Pi_{\sigma}\) and tensor products of operator algebras ⋮ The Hopf structure of some dual operator algebras ⋮ Tensor products of $\sigma $-weakly closed nest algebra submodules ⋮ Invariant subspaces of operator algebras ⋮ Operator synthesis and tensor products ⋮ The tensor product problem for reflexive algebras ⋮ Crossed products of dual operator spaces by locally compact groups ⋮ On the slice map problem for $H^\infty (\Omega )$ and the reflexivity of tensor products ⋮ Compact operators, invariant subspaces, and spectral synthesis ⋮ Central and convolution Herz-Schur multipliers

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