Characterisations of the weak expectation property

Douglas Farenick, Ali S. Kavruk, Vern I Paulsen, Ivan G. Todorov

Research output: Contribution to journalArticle

Abstract

We use representations of operator systems as quotients to deduce various characterisations of the weak expectation property (WEP) for C∗ -algebras. By Kirchberg’s work on WEP, these results give new formulations of Connes’ embedding problem.
Original languageEnglish
Pages (from-to)1-29
Number of pages29
JournalNew York Journal of Mathematics
Volume24a
Publication statusPublished - 2018

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Embedding Problem
C*-algebra
Deduce
Formulation
Operator

Cite this

Farenick, D., Kavruk, A. S., Paulsen, V. I., & Todorov, I. G. (2018). Characterisations of the weak expectation property. New York Journal of Mathematics, 24a , 1-29.
Farenick, Douglas ; Kavruk, Ali S. ; Paulsen, Vern I ; Todorov, Ivan G. / Characterisations of the weak expectation property. In: New York Journal of Mathematics. 2018 ; Vol. 24a . pp. 1-29.
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Farenick, D, Kavruk, AS, Paulsen, VI & Todorov, IG 2018, 'Characterisations of the weak expectation property', New York Journal of Mathematics, vol. 24a , pp. 1-29.

Characterisations of the weak expectation property. / Farenick, Douglas; Kavruk, Ali S.; Paulsen, Vern I; Todorov, Ivan G.

In: New York Journal of Mathematics, Vol. 24a , 2018, p. 1-29.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Characterisations of the weak expectation property

AU - Farenick, Douglas

AU - Kavruk, Ali S.

AU - Paulsen, Vern I

AU - Todorov, Ivan G.

PY - 2018

Y1 - 2018

N2 - We use representations of operator systems as quotients to deduce various characterisations of the weak expectation property (WEP) for C∗ -algebras. By Kirchberg’s work on WEP, these results give new formulations of Connes’ embedding problem.

AB - We use representations of operator systems as quotients to deduce various characterisations of the weak expectation property (WEP) for C∗ -algebras. By Kirchberg’s work on WEP, these results give new formulations of Connes’ embedding problem.

M3 - Article

VL - 24a

SP - 1

EP - 29

JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

SN - 1076-9803

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