The algebra generated by idempotents in a Fourier-Stieltjes algebra

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dc.creatorIlie, Monica
dc.creatorSpronk, Nico
dc.date2005-10-24
dc.date.accessioned2026-07-07T09:40:27Z
dc.date.available2026-07-07T09:40:27Z
dc.descriptionWe study the closed algebra B_I(G) generated by the idempotents in the Fourier-Stieltjes algebra of a locally compact group G. We show that it is a regular Banach algebra with computable spectrum G^I, which we call the idempotent compactification of G. For any locally compact groups G and H, we show that B_I(G) is completely isometrically isomorphic to B_I(H) exactly when G/G_e= H/H_e, where G_e and H_e are the connected components of the identities. We compute some examples to illustrate out results.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0510514
dc.identifierhttp://arxiv.org/abs/math/0510514
dc.identifierHouston J. Math. 33 (2007), no. 4, 1131--1145.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161491
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject43A30,43A25; 43A22, 46L07, 43A70
dc.titleThe algebra generated by idempotents in a Fourier-Stieltjes algebra
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