Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators

DOI10.4153/CMB-2004-044-6zbMath1062.46037arXivmath/0206233MaRDI QIDQ4824424

A. Yu. Pirkovskii

Publication date: 1 November 2004

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206233

zbMATH Keywords

amenabilitybiflatnessnuclear operatorsconvolution algebrabiprojectivity

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) 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) Locally compact groups and their algebras (22D99) Structure, classification of topological algebras (46H20) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (4)

Amenability and covariant injectivity of locally compact quantum groups ⋮ Harmonic operators: the dual perspective ⋮ Character contractibility and amenability of Banach algebras with applications to quantum groups ⋮ Duality, cohomology, and geometry of locally compact quantum groups

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