dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Phillips, N. Christopher |
dc.date.accessioned |
2012-06-21T10:10:18Z |
dc.date.available |
2012-06-21T10:10:18Z |
dc.date.created |
2011 |
dc.date.issued |
2011 |
dc.identifier.uri |
http://hdl.handle.net/2072/196884 |
dc.format.extent |
50 p. |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;1068 |
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 |
Anàlisi funcional |
dc.title |
Equivariant semiprojectivity |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.embargo.terms |
cap |
dc.description.abstract |
We define equivariant semiprojectivity for C* -algebras equipped with actions of compact groups. We prove that the following examples are equivariantly semiprojective:
A. Arbitrary finite dimensional C*-algebras with arbitrary actions of compact groups. -
B. The Cuntz algebras Od and extended Cuntz algebras Ed, for finite d, with quasifree actions of compact groups. -
C. The Cuntz algebra O∞ with any quasifree action of a finite group.
For actions of finite groups, we prove that equivariant semiprojectivity is equiv-
alent to a form of equivariant stability of generators and relations. We also
prove that if G is finite, then C*(G) is graded semiprojective. |