000088710 001 __ 88710
000088710 005 __20141007063457.0
000088710 024 8_ $9 primocentral $9 driver $a oai:ddd.uab.cat:88710
000088710 035 __ $a oai:www.recercat.cat:2072/182585
000088710 041 __ $a eng
000088710 080 __ $a 517
000088710 100 1_ $a Ara i Bertrán, Pere
000088710 245 10 $a Dynamical systems of type (m,n) and their C*-algebras
000088710 260 __ $b Centre de Recerca Matemàtica $c 2011
000088710 300 __ $a 38 p.
000088710 520 __ $a Given positive integers n and m, we consider dynamical systems in which n copies of a topological space is homeomorphic to m copies of that same space. The universal such system is shown to arise naturally from the study of a C*-algebra we denote by Om;n, which in turn is obtained as a quotient of the well known Leavitt C*-algebra Lm;n, a process meant to transform the generating set of partial isometries of Lm;n into a tame set. Describing Om;n as the crossed-product of the universal (m; n) -dynamical system by a partial action of the free group Fm+n, we show that Om;n is not exact when n and m are both greater than or equal to 2, but the corresponding reduced crossed-product, denoted Or m;n, is shown to be exact and non-nuclear. Still under the assumption that m; n >= 2, we prove that the partial action of Fm+n is topologically free and that Or m;n satisfies property (SP) (small projections). We also show that Or m;n admits no finite dimensional representations. The techniques developed to treat this system include several new results pertaining to the theory of Fell bundles over discrete groups.
000088710 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/
000088710 546 __ $a Anglès.
000088710 653 __ $a Sistemes dinàmics diferenciables
000088710 653 __ $a Grups lliures
000088710 653 __ $a C*-àlgebres
000088710 655 _4 $a info:eu-repo/semantics/preprint
000088710 700 1_ $a Exel, Ruy
000088710 700 1_ $a Katsura, Takeshi
000088710 710 1_ $a Centre de Recerca Matemàtica
000088710 762 18 $w hdl_2072_1177
000088710 830 __ $a Prepublicacions del Centre de Recerca Matemàtica ; $v 1050
000088710 856 40 $p 38 $s 500157 $u http://ddd.uab.cat/pub/prepub/2011/hdl_2072_182585/Pr1050.pdf
000088710 856 42 $3 Adreça alternativa $u http://hdl.handle.net/2072/182585
000088710 980 __ $a PREPUB $b UAB