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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 locally compact group, Fourier algebra, operator space, projective
MSC Classifications: 13D03, 18G25, 43A95, 46L07, 22D99 show english descriptions (Co)homology of commutative rings and algebras (e.g., Hochschild, Andre-Quillen, cyclic, dihedral, etc.)
Relative homological algebra, projective classes
Categorical methods [See also 46Mxx]
Operator spaces and completely bounded maps [See also 47L25]
None of the above, but in this section
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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