Equivariant *-homomorphisms, Rokhlin constraints and equivariant UHF-absorption

Eusebio Gardella, Luis Santiago

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We classify equivariant 8-homomorphisms between C*-dynamical systems associated to actions of finite groups with the Rokhlin property. In addition, the given actions are classified. An obstruction is obtained for the Cuntz semigroup of a C*-algebra allowing such an action. We also obtain an equivariant UHF-absorption result.
Original languageEnglish
Pages (from-to)2543-2590
Number of pages58
JournalJournal of Functional Analysis
Volume270
Issue number7
Early online date19 Feb 2016
DOIs
Publication statusPublished - 1 Apr 2016

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Homomorphisms
Equivariant
Absorption
C*-dynamical System
Obstruction
C*-algebra
Finite Group
Semigroup
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Keywords

  • Rokhlin property
  • Equivariant *-homomorphisms
  • Cuntz semigroup
  • UHF-absorption

Cite this

Equivariant *-homomorphisms, Rokhlin constraints and equivariant UHF-absorption. / Gardella, Eusebio ; Santiago, Luis.

In: Journal of Functional Analysis, Vol. 270, No. 7, 01.04.2016, p. 2543-2590.

Research output: Contribution to journalArticle

Gardella, Eusebio ; Santiago, Luis. / Equivariant *-homomorphisms, Rokhlin constraints and equivariant UHF-absorption. In: Journal of Functional Analysis. 2016 ; Vol. 270, No. 7. pp. 2543-2590.
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