Topological Invariant Means on the Von Neumann Algebra VN(G)

DOI10.2307/1999202zbMath0507.22007OpenAlexW4245254256MaRDI QIDQ4744485

Ching Chou

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2307/1999202

zbMATH Keywords

von Neumann algebralinear isometryregular representationamenable groupsFourier algebraweakly almost periodicmutually orthogonaltopological invariant meanssupports of normal statestopological almost convergent functionals

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) States of selfadjoint operator algebras (46L30) Positive definite functions on groups, semigroups, etc. (43A35) Means on groups, semigroups, etc.; amenable groups (43A07) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Dual spaces of operator algebras (47L50)

Related Items (9)

Orthogonal \(\ell_1\)-sets and extreme non-Arens regularity of preduals of von Neumann algebras ⋮ Ergodic Group Actions with Nonunique Invariant Means ⋮ On amenable groups of automorphisms on von Neumann algebras ⋮ Counting topologically invariant means on \(L_\infty(G)\) and \(VN(G)\) with ultrafilters ⋮ Involutions and trivolutions in algebras related to second duals of group algebras ⋮ On character amenability of Banach algebras ⋮ On ideals in the bidual of the Fourier algebra and related algebras ⋮ Unnamed Item ⋮ Invariant means on a class of von Neumann algebras related to ultraspherical hypergroups

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