On the set of topologically invariant means on the von Neumann algebra \(VN(G)\)

zbMath0840.22012MaRDI QIDQ1909537

Yanyan Li

Publication date: 26 June 1996

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

zbMATH Keywords

von Neumann algebralocally compact groupleft regular representationsmallest cardinalitytopologically invariant means

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) Means on groups, semigroups, etc.; amenable groups (43A07) Group algebras of locally compact groups (22D15) Dual spaces of operator algebras (47L50)

Related Items (12)

Orthogonal \(\ell_1\)-sets and extreme non-Arens regularity of preduals of von Neumann algebras ⋮ Dual spaces and translation invariant means on group von Neumann algebras ⋮ On character amenability of the Fourier algebra ⋮ Unnamed Item ⋮ Weak factorizations of operators in the group von Neumann algebras of certain amenable groups and applications ⋮ Counting topologically invariant means on \(L_\infty(G)\) and \(VN(G)\) with ultrafilters ⋮ On character amenability of Banach algebras ⋮ On the set of topologically invariant means on an algebra of convolution operators on 𝐿^{𝑝}(𝐺) ⋮ On ideals in the bidual of the Fourier algebra and related algebras ⋮ Extreme non-Arens regularity of the group algebra ⋮ A generalized Kakutani-Kodaira theorem ⋮ Finite-dimensional left ideals in the duals of introverted spaces

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