Crossed product by actions of finite groups with the Rokhlin property

Luis Santiago

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We introduce and study a Rokhlin-type property for actions of finite groups on (not necessarily unital) C*-algebras. We show that the corresponding crossed product C*-algebras can be locally approximated by C*-algebras that are stably isomorphic to closed two-sided ideals of the given algebra. We then use this result to prove that several classes of C*-algebras are closed under crossed products by finite group actions with this Rokhlin property.


Read More: http://www.worldscientific.com/doi/abs/10.1142/S0129167X15500421
Original languageEnglish
Article number1550042
Number of pages31
JournalInternational Journal of Mathematics
Volume26
Issue number7
DOIs
Publication statusPublished - Jun 2015

Fingerprint

Crossed Product
C*-algebra
Finite Group
Finite Group Action
Closed
Unital
Isomorphic
Algebra

Keywords

  • C*-algebras
  • group actions
  • Rokhlin property

Cite this

Crossed product by actions of finite groups with the Rokhlin property. / Santiago, Luis.

In: International Journal of Mathematics , Vol. 26, No. 7, 1550042, 06.2015.

Research output: Contribution to journalArticle

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