Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity

DOI10.1007/s10958-009-9646-1zbMath1191.43007arXiv0806.3205OpenAlexW2949120592WikidataQ55934107 ScholiaQ55934107MaRDI QIDQ844537

Sergei S. Akbarov

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3205

zbMATH Keywords

Hopf algebrasLie groupsPontryagin dualityStein groups

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Duality theorems for locally compact groups (22D35) Methods of category theory in functional analysis (46M99) Categorical methods for abstract harmonic analysis (43A95)

Related Items (10)

The Arens-Michael envelopes of Laurent Ore extensions ⋮ Length functions exponentially distorted on subgroups of complex Lie groups ⋮ Continuous and smooth envelopes of topological algebras. I ⋮ Continuous and smooth envelopes of topological algebras. II ⋮ Kernels and cokernels in the category of augmented involutive stereotype algebras ⋮ Holomorphic functions of exponential type on connected complex Lie groups ⋮ Envelopes and refinements in categories, with applications to functional analysis ⋮ Arens–Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type, and homological epimorphisms ⋮ Holomorphic reflexivity for locally finite and profinite groups: the abelian and general cases ⋮ \(C^\infty(M)\) as a smooth envelope of its subalgebras

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