New York Journal of Mathematics
Volume 24a (2018), 107-135


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

Characterizations of the weak expectation property

view    print

Published: November 7, 2018.
Keywords: operator system, tensor product, discrete group, free group, free product, Kirchberg's Conjecture, complete quotient maps, lifting property.
Subject: Primary 46L06, 46L07; Secondary 46L05, 47L25, 47L90.

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.


This work supported in part by NSERC (Canada), NSF (USA), and the Royal Society (United Kingdom).

Author information

Douglas Farenick:
Department of Mathematics and Statistics
University of Regina
Regina, Saskatchewan S4S 0A2, Canada


Ali S. Kavruk:
Department of Mathematics
University of Illinois
Urbana, IL 61801, U.S.A.


Vern I. Paulsen:
Department of Pure Mathematics
University of Waterloo
Waterloo, Ontario N2L 3G1, Canada


Ivan G. Todorov:
Pure Mathematics Research Centre
Queen's University Belfast
Belfast, BT7 1NN, United Kingdom