dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Kucerovsky, Dan |
dc.contributor.author |
Elliott, George A. |
dc.date.accessioned |
2007-06-27T14:14:50Z |
dc.date.available |
2007-06-27T14:14:50Z |
dc.date.created |
2007-03 |
dc.date.issued |
2007-03 |
dc.identifier.uri |
http://hdl.handle.net/2072/4246 |
dc.format.extent |
6 |
dc.format.extent |
169089 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;743 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
C*-àlgebres |
dc.title |
A relative double commutant theorem for hereditary sub-C*-algebras |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.abstract |
We prove a double commutant theorem for hereditary subalgebras of a large class of C*-algebras, partially resolving a problem posed by Pedersen[8]. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field
now called von Neumann algebra theory. Voiculescu proved a C*-algebraic double commutant theorem for separable subalgebras of the Calkin algebra. We prove a similar result for hereditary subalgebras which holds for arbitrary corona C*-algebras. (It is not clear how generally Voiculescu's double commutant theorem holds.) |
dc.description.abstract |
Nous démontrons un théorème commutant double
(d'après Voiculescu et von Neumann) pour des sous-C*-algèbres héréditaires dans une C*-algèbre &&corona&&, c'est a dire M(A)/A. |