Derivations on Group Algebras

DOI10.1112/S0024611500012338zbMath1029.22007OpenAlexW2025104847MaRDI QIDQ4487609

George A. Willis, Volker Runde, Fereidoun Ghahramani

Publication date: 22 June 2000

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611500012338

zbMATH Keywords

cohomologyBanach algebraslocally compact groupcontinuous derivationfirst cohomology space

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Group algebras of locally compact groups (22D15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (11)

Crossed homomorphisms on semigroups are principal ⋮ On the center of group C* -algebras ⋮ Derivation problem for quandle algebras ⋮ Geometric description of the Hochschild cohomology of group algebras ⋮ Correlation between the Hochschild cohomology and the Eilenberg-Mac Lane cohomology of group algebras from a geometric point of view ⋮ Module derivation problem for inverse semigroups ⋮ Derivations of group algebras ⋮ Generalized notions of amenability. ⋮ Derivations on group algebras with coding theory applications ⋮ Existence, automatic continuity and invariant submodules of generalized derivations on modules ⋮ META-CENTRALIZERS OF NON-LOCALLY COMPACT GROUP ALGEBRAS

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