dc.contributor.author |
Phillips, N. Christopher |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2011 |
dc.identifier |
https://ddd.uab.cat/record/196683 |
dc.identifier |
urn:oai:ddd.uab.cat:196683 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
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: |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/3.0/ |
dc.subject |
Anàlisi funcional |
dc.title |
Equivariant semiprojectivity |
dc.type |
Article |
dc.type |
Prepublicació |
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. |