dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Ara i Bertrán, Pere |
dc.contributor.author |
Exel, Ruy |
dc.contributor.author |
Katsura, Takeshi |
dc.date.accessioned |
2012-03-19T08:55:38Z |
dc.date.available |
2012-03-19T08:55:38Z |
dc.date.created |
2011 |
dc.date.issued |
2011 |
dc.identifier.uri |
http://hdl.handle.net/2072/182585 |
dc.format.extent |
38 p. |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;1050 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.rights |
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/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Sistemes dinàmics diferenciables |
dc.subject.other |
Grups lliures |
dc.subject.other |
C*-àlgebres |
dc.title |
Dynamical systems of type (m,n) and their C*-algebras |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.embargo.terms |
cap |
dc.description.abstract |
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. |