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The Operator Biprojectivity of the Fourier Algebra

Published:2002-10-01
Printed: Oct 2002
• Peter J. Wood
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Abstract

In this paper, we investigate projectivity in the category of operator spaces. In particular, we show that the Fourier algebra of a locally compact group $G$ is operator biprojective if and only if $G$ is discrete.
 Keywords: locally compact group, Fourier algebra, operator space, projective
 MSC Classifications: 13D03 - (Co)homology of commutative rings and algebras (e.g., Hochschild, Andre-Quillen, cyclic, dihedral, etc.) 18G25 - Relative homological algebra, projective classes 43A95 - Categorical methods [See also 46Mxx] 46L07 - Operator spaces and completely bounded maps [See also 47L25] 22D99 - None of the above, but in this section

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