Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators
Copyright policy )Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators
AbstractFor a locally compact group G, the convolution product on the space 𝒩(Lp(G)) of nuclear operators was defined by Neufang [11]. We study homological properties of the convolution algebra 𝒩(Lp(G)) and relate them to some properties of the group G, such as compactness, finiteness, discreteness, and amenability.
- Peoples' Friendship University of Russia Russian Federation
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Projective and injective objects in functional analysis, 46M10, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.), nuclear operators, 46M10; 46H25, 43A20, 16E65, Locally compact groups and their algebras, Structure, classification of topological algebras, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, 46H25, 43A20, 16E65, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), FOS: Mathematics, amenability, biprojectivity, \(L^1\)-algebras on groups, semigroups, etc., convolution algebra, biflatness
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Projective and injective objects in functional analysis, 46M10, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.), nuclear operators, 46M10; 46H25, 43A20, 16E65, Locally compact groups and their algebras, Structure, classification of topological algebras, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, 46H25, 43A20, 16E65, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), FOS: Mathematics, amenability, biprojectivity, \(L^1\)-algebras on groups, semigroups, etc., convolution algebra, biflatness
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