A note on group algebras of locally compact groups

DOI10.1090/conm/688/13838zbMath1388.16027OpenAlexW4255715083MaRDI QIDQ5351701

Ashish K. Srivastava

Publication date: 30 August 2017

Published in: Groups, Rings, Group Rings, and Hopf Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/688/13838

zbMATH Keywords

Banach algebralocally compactHaar measureinjectivegroupenvelopemodulegroup ringintegrable functionBochner integrableautomorphism-invariant

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Group algebras of locally compact groups (22D15)

Cites Work

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• Rings and modules which are stable under automorphisms of their injective hulls.
• (Sigma-) algebraic compactness of rings
• Modules invariant under automorphisms of their covers and envelopes.
• Automorphism-invariant modules satisfy the exchange property.
• On Generalized Group Algebras
• Generalized Group Algebras of Locally Compact Groups
• Additive Unit Representations in Endomorphism Rings and an Extension of a result of Dickson and Fuller
• Continuity of Centralisers on Banach Algebras
• On the Group Ring
• The Group Algebra of a Locally Compact Group
• The Radical and Semi-Simplicity for Arbitrary Rings

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