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arXiv:math/0206233 [math.FA]AbstractReferencesReviewsResources

Biprojectivity and biflatness for convolution algebras of nuclear operators

A. Yu. Pirkovskii

Published 2002-06-22, updated 2002-10-27Version 2

For a locally compact group G, the convolution product on the space N(L^p(G)) of nuclear operators was defined by Neufang. We study homological properties of the convolution algebra N(L^p(G)) and relate them with some properties of the group G, such as compactness, finiteness, discreteness, and amenability.

Comments: 10 pages; references changed, remarks added
Categories: math.FA
Subjects: 46M10, 46H25, 43A20, 16E65
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