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Homological properties of certain Banach modules over group algebras

Part of: Abstract harmonic analysis Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  07 April 2011

Farid Bahrami ,
Rasoul Nasr-Isfahani  and
Sima Soltani Renani
Farid Bahrami
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (fbahrami@cc.iut.ac.ir; isfahani@cc.iut.ac.ir; simasoltani@math.iut.ac.ir)
Rasoul Nasr-Isfahani
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (fbahrami@cc.iut.ac.ir; isfahani@cc.iut.ac.ir; simasoltani@math.iut.ac.ir)
Sima Soltani Renani
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (fbahrami@cc.iut.ac.ir; isfahani@cc.iut.ac.ir; simasoltani@math.iut.ac.ir)
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Abstract

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Homological properties of several Banach left L1(G)-modules have been studied by Dales and Polyakov and recently by Ramsden. In this paper, we characterize some homological properties of and as Banach left L1(G)-modules, such as flatness, injectivity and projectivity.

Keywords

amenabilityBanach moduleflatnessinjectivityprojectivitylocally compact group

MSC classification

Secondary: 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 43A20: $L^1$-algebras on groups, semigroups, etc. 46H25: Normed modules and Banach modules, topological modules (if not placed in or )
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 2 , June 2011 , pp. 321 - 328
Copyright
Copyright © Edinburgh Mathematical Society 2011

References

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