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

Eusebio  Gardella; Luis Santiago

doi:10.1016/j.jfa.2016.02.010

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

Eusebio Gardella, Luis Santiago

Mathematical Science

Research output: Contribution to journal › Article › peer-review

14 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 language	English
Pages (from-to)	2543-2590
Number of pages	58
Journal	Journal of Functional Analysis
Volume	270
Issue number	7
Early online date	19 Feb 2016
DOIs	https://doi.org/10.1016/j.jfa.2016.02.010
Publication status	Published - 1 Apr 2016

Keywords

Rokhlin property
Equivariant *-homomorphisms
Cuntz semigroup
UHF-absorption

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title = "Equivariant *-homomorphisms, Rokhlin constraints and equivariant UHF-absorption",

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.",

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T1 - Equivariant *-homomorphisms, Rokhlin constraints and equivariant UHF-absorption

AU - Gardella, Eusebio

AU - Santiago, Luis

PY - 2016/4/1

Y1 - 2016/4/1

N2 - 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.

AB - 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.

KW - Rokhlin property

KW - Equivariant -homomorphisms

KW - Cuntz semigroup

KW - UHF-absorption

U2 - 10.1016/j.jfa.2016.02.010

DO - 10.1016/j.jfa.2016.02.010

M3 - Article

VL - 270

SP - 2543

EP - 2590

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 7

ER -

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

Abstract

Keywords

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