Quasidiagonal traces and crossed products

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00518431" target="_blank" >RIV/67985840:_____/19:00518431 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1512/iumj.2019.68.7759" target="_blank" >http://dx.doi.org/10.1512/iumj.2019.68.7759</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1512/iumj.2019.68.7759" target="_blank" >10.1512/iumj.2019.68.7759</a>

Result language

angličtina

Original language name

Quasidiagonal traces and crossed products

Original language description

Let A be a simple, exact, separable, unital C∗algebra, and let α: G → Aut(A) be an action of a finite group G with the weak tracial Rokhlin property. We show that every trace on A *α G is quasidiagonal provided that all traces on A are quasidiagonal. As an application, we study the behavior of finite decomposition rank under taking crossed products by finite group actions with the weak tracial Rokhlin property. Moreover, we discuss the stability of the property that all traces are quasidiagonal under taking crossed products of finite group actions with finite Rokhlin dimension with commuting towers.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Indiana University Mathematics Journal

ISSN

0022-2518

e-ISSN

—

Volume of the periodical

68

Issue of the periodical within the volume

5

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

1579-1590

UT code for WoS article

000505613300007

EID of the result in the Scopus database

2-s2.0-85076238625