Projective modules in classical and quantum functional analysis
type: Item
instance of: scholarly article
title: Projective modules in classical and quantum functional analysis
zbMATH Open document ID: 1194.46071
published in: Journal of Mathematical Sciences (New York)
publication date: 2010-02-19T00:00:00Z
review text: This is a very well written expository article -- based on lectures given by the author at the University of Alberta in 2003 -- on the concept of a projective module in three different variants of topological homology: the ``classical'' topological homology, where the underlying tensor product is the projective Banach space tensor product, and the two ``quantized'' topological homologies, where the underlying tensor products are the projective operator space and the Haagerup tensor product, respectively.
reviewed by: Volker Runde
Mathematics Subject Classification ID: 46H25
Mathematics Subject Classification ID: 46M10
Mathematics Subject Classification ID: 46-02
Mathematics Subject Classification ID: 47L25
Mathematics Subject Classification ID: 18G05
zbMATH DE Number: 5673490
zbMATH Keywords: projectivity
zbMATH Keywords: topological homology
zbMATH Keywords: operator spaces
author: A. Ya Helemskiǐ
MaRDI profile type: Publication
full work available at URL: s10958-009-9465-4
OpenAlex ID: W1973056565
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DOI: 10.1007/S10958-009-9465-4
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description: scientific article; zbMATH DE number 5673490