Homological properties of modules over group algebras

DOI10.1112/S0024611504014686zbMath1058.43003OpenAlexW2104514445MaRDI QIDQ4825370

M. E. Polyakov, H. Garth Dales

Publication date: 28 October 2004

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

Full work available at URL: https://doi.org/10.1112/s0024611504014686

zbMATH Keywords

injectivitygroup algebraflatnessprojectivitypseudo-amenability

Mathematics Subject Classification ID

Projective and injective objects in functional analysis (46M10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Means on groups, semigroups, etc.; amenable groups (43A07) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (19)

On character projectivity Of Banach modules ⋮ Amenability and covariant injectivity of locally compact quantum groups ⋮ ON HOMOLOGICAL PROPERTIES FOR SOME MODULES OF UNIFORMLY CONTINUOUS FUNCTIONS OVER CONVOLUTION ALGEBRAS ⋮ On hereditary properties of quantum group amenability ⋮ Projective modules in classical and quantum functional analysis ⋮ On the operator homology of the Fourier algebra and its \(cb\)-multiplier completion ⋮ Invariant subsets and homological properties of Orlicz modules over group algebras ⋮ The geometry of projective, injective, and flat Banach modules ⋮ Inner amenability and approximation properties of locally compact quantum groups ⋮ Homological properties of banach modules over abstract segal algebras ⋮ Topologically projective, injective and flat modules of harmonic analysis ⋮ Homological properties of certain Banach modules over group algebras ⋮ Homological properties of modules over semigroup algebras ⋮ Unnamed Item ⋮ On injective von Neumann algebras ⋮ Injectivity and projectivity in \(p\)-multinormed spaces ⋮ A weak expectation property for operator modules, injectivity and amenable actions ⋮ Characterisations of pseudo-amenability ⋮ Some homological results for amalgamated duplication of Banach algebras

This page was built for publication: Homological properties of modules over group algebras