Infinite tensor products of $C_0(\mathbb{R})$: towards a group algebra for $\mathbb{R}^{(\mathbb{N})}$

DOI10.7900/JOT.2011AUG22.1930zbMath1299.22004arXiv1001.1012OpenAlexW2326255929MaRDI QIDQ5396803

Karl-Hermann Neeb, Hendrik B. G. S. Grundling

Publication date: 3 February 2014

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1012

zbMATH Keywords

topological group\(C^*\)-algebragroup algebraBochner-Minlos theoreminfinite tensor productstate space decomposition, continuous representation

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Tensor products of (C^*)-algebras (46L06) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (4)

Amenability and representation theory of pro-Lie groups ⋮ On genuine infinite algebraic tensor products ⋮ Fourier-Stieltjes algebra of a topological group ⋮ Representations of \(^\ast\)-algebras by unbounded operators: C\(^\ast\)-hulls, local-global principle, and induction

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