Convergence of Fourier Series in Discrete Crossed Products of von Neumann Algebras

DOI10.2307/2045386zbMath0637.46070OpenAlexW4236942545MaRDI QIDQ3776900

Richard Mercer

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045386

zbMATH Keywords

Riemannian manifoldconditional expectationgeneralized Fourier seriesunitary matrixorthonormal matrix.matrix solution\(W^ *\)-crossed product of a von Neumann algebraestimation property of homotopies

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Linear ordinary differential equations and systems (34A30) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Inner product spaces and their generalizations, Hilbert spaces (46C99) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (13)

Bimodules in crossed products of von Neumann algebras ⋮ Matrix splitting and ideals in ᵍ1(ᵍ7) ⋮ The relative Dixmier property in discrete crossed products ⋮ Compact operators in type \(III_{\lambda}\) and type \(III_ 0\) factors. I ⋮ On the von Neumann algebra of class functions on a compact quantum group ⋮ The block Schur product is a Hadamard product ⋮ Type decomposition for von Neumann algebra embeddings ⋮ Discrete groups and simple C*-algebras ⋮ On twisted Fourier analysis and convergence of Fourier series on discrete groups ⋮ Bimodules over Cartan subalgebras ⋮ Intermediate subalgebras and bimodules for general crossed products of von Neumann algebras ⋮ Intermediate C*-algebras of Cartan embeddings ⋮ Compact operators in type III\(_{\lambda}\) and type III\(_0\) factors

Cites Work

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• Crossed products of rings of operators
• A generalization of free action
• Abelian subalgebras of von Neumann algebras

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