Biprojective algebras and operator spaces

DOI10.1023/A:1016047626689zbMath1011.46045OpenAlexW79236015MaRDI QIDQ1848059

Oleg Yu. Aristov

Publication date: 11 June 2003

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016047626689

zbMATH Keywords

cohomology groupsquantized functional analysisbiprojective operator algebrasbiprojective quantized algebrasprojective Banach bimodule

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) 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)

Related Items (8)

Exact structures for operator modules ⋮ Operator biflatness of the Fourier algebra and approximate indicators for subgroups ⋮ Projective modules in classical and quantum functional analysis ⋮ On the operator homology of the Fourier algebra and its \(cb\)-multiplier completion ⋮ Projective operator spaces, almost periodicity and completely complemented ideals in the Fourier algebra ⋮ Operator biprojectivity of compact quantum groups ⋮ Operator space structure and amenability for Figà--Talamanca--Herz algebras ⋮ Applications of operator spaces to abstract harmonic analysis.

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