Operator biflatness of the Fourier algebra and approximate indicators for subgroups

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dc.creatorAristov, Oleg Yu.
dc.creatorRunde, Volker
dc.creatorSpronk, Nico
dc.date2002-03-28
dc.date2003-04-10
dc.date.accessioned2026-07-07T04:47:20Z
dc.date.available2026-07-07T04:47:20Z
dc.descriptionWe investigate if, for a locally compact group $G$, the Fourier algebra $A(G)$ is biflat in the sense of quantized Banach homology. A central role in our investigation is played by the notion of an approximate indicator of a closed subgroup of $G$: The Fourier algebra is operator biflat whenever the diagonal in $G \times G$ has an approximate indicator. Although we have been unable to settle the question of whether $A(G)$ is always operator biflat, we show that, for $G = SL(3,C)$, the diagonal in $G \times G$ fails to have an approximate indicator.
dc.description23 pages; more typos removed; references updated
dc.identifierhttps://arxiv.org/abs/math/0203290
dc.identifierhttp://arxiv.org/abs/math/0203290
dc.identifierJ. Funct. Anal. 209 (2004), 367-387
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63674
dc.subjectFunctional Analysis
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject22D25 (primary), 22E10, 43A30, 46L07, 46L89, 46M18, 47L25, 47L50
dc.titleOperator biflatness of the Fourier algebra and approximate indicators for subgroups
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