Projectivity of modules over Fourier algebras

In this paper we study the homological properties of various natural modules associated to the Fourier algebra of a locally compact group. In particular, we focus on the question of identifying when such modules are projective in the category of operator spaces. We will show that projectivity often...

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Bibliographic Details
Published in:Proceedings of the London Mathematical Society 2011-04, Vol.102 (4), p.697-730
Main Authors: Forrest, Brian E., Lee, Hun Hee, Samei, Ebrahim
Format: Article
Language:English
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Summary:In this paper we study the homological properties of various natural modules associated to the Fourier algebra of a locally compact group. In particular, we focus on the question of identifying when such modules are projective in the category of operator spaces. We will show that projectivity often implies that the underlying group is discrete and give evidence to show that amenability also plays an important role.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms/pdq030