The Crossed Product by a Partial Endomorphism and the Covariance Algebra

dc.creatorRoyer, Danilo
dc.date2005-03-21
dc.date.accessioned2026-07-07T05:18:11Z
dc.date.available2026-07-07T05:18:11Z
dc.descriptionGiven a local homeomorphism σ:U -> X where U is a clopen subset of an compact and Hausdorff topological space X, we obtain the possible transfer operators L_ρwhich may occur for \al:C(X) -> C(U) given by \al(f)=fσ. We obtain examples of partial dynamical systems (X_A,σ_A) such that the construction of the covariance algebra C^*(X_A,σ_A) and the crossed product by partial endomorphism O(X_A,\al,L) associated to this system are not equivalent, in the sense that there does not exists invertible function ρin C(U) such that O(X_A,\al,L_ρ)=C^*(X_A,σ).
dc.description13 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0503439
dc.identifierhttp://arxiv.org/abs/math/0503439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74575
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject47L65; 37A99
dc.titleThe Crossed Product by a Partial Endomorphism and the Covariance Algebra
dc.typetext

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