88585 hdl_2072_1177 oai:www.recercat.cat:2072/182298 Let A be a simple, separable C*-algebra of stable rank one. We prove that the Cuntz semigroup of C (T, A) is determined by its Murray-von Neumann semigroup of projections and a certain semigroup of lower semicontinuous functions (with values in the Cuntz semigroup of A). This result has two consequences. First, specializing to the case that A is simple, finite, separable and Z-stable, this yields a description of the Cuntz semigroup of C (T, A) in terms of the Elliott invariant of A. Second, suitably interpreted, it shows that the Elliott functor and the functor defined by the Cuntz semigroup of the tensor product with the algebra of continuous functions on the circle are naturally equivalent. eng Antoine Riolobos, Ramon Dadarlat, Màrius Perera Domènech, Francesc Santiago, Luís Centre de Recerca Matemàtica Centre de Recerca Matemàtica 2011 Recovering the Elliott invariant from the Cuntz semigroup 16 p. 517 Àlgebres d'operadors info:eu-repo/semantics/preprint Prepublicacions del Centre de Recerca Matemàtica ; 1043 http://ddd.uab.cat/pub/prepub/2011/hdl_2072_182298/Pr1043.pdf 236263 16 Adreça alternativa http://hdl.handle.net/2072/182298 PREPUB UAB info:eu-repo/semantics/openAccess L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/ driver oai:ddd.uab.cat:88585