000088585 001 __ 88585
000088585 005 __20141007063456.0
000088585 024 8_ $9 primocentral $9 driver $a oai:ddd.uab.cat:88585
000088585 035 __ $a oai:www.recercat.cat:2072/182298
000088585 041 __ $a eng
000088585 080 __ $a 517
000088585 100 1_ $a Antoine Riolobos, Ramon
000088585 245 10 $a Recovering the Elliott invariant from the Cuntz semigroup
000088585 260 __ $b Centre de Recerca Matemàtica $c 2011
000088585 300 __ $a 16 p.
000088585 520 __ $a 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.
000088585 540 __ $9 info:eu-repo/semantics/openAccess $a L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: $u http://creativecommons.org/licenses/by-nc-nd/3.0/es/
000088585 546 __ $a Anglès.
000088585 653 __ $a Àlgebres d'operadors
000088585 655 _4 $a info:eu-repo/semantics/preprint
000088585 700 1_ $a Dadarlat, Màrius
000088585 700 1_ $a Perera Domènech, Francesc
000088585 700 1_ $a Santiago, Luís
000088585 710 1_ $a Centre de Recerca Matemàtica
000088585 762 18 $w hdl_2072_1177
000088585 830 __ $a Prepublicacions del Centre de Recerca Matemàtica ; $v 1043
000088585 856 40 $p 16 $s 236263 $u http://ddd.uab.cat/pub/prepub/2011/hdl_2072_182298/Pr1043.pdf
000088585 856 42 $3 Adreça alternativa $u http://hdl.handle.net/2072/182298
000088585 980 __ $a PREPUB $b UAB