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Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators

Published online by Cambridge University Press:  20 November 2018

A. Yu. Pirkovskii
A. Yu. Pirkovskii*
Affiliation:
Department of Differential Equations and Functional Analysis Faculty of Science Peoples’ Friendship University of Russia Mikluho-Maklaya 6 117198 Moscow Russia, E-mail: pirkosha@sci.pfu.edu.ru, pirkosha@online.ru
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Abstract

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For a locally compact group $G$, the convolution product on the space $N({{L}^{p}}\ (G))$ of nuclear operators was defined by Neufang [11]. We study homological properties of the convolution algebra $N({{L}^{p}}\ (G))$ and relate them to some properties of the group $G$, such as compactness, finiteness, discreteness, and amenability.

Keywords

46M1046H2543A2016E65
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 3 , 01 September 2004 , pp. 445 - 455
Copyright
Copyright © Canadian Mathematical Society 2004

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