| |
|
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. |
|
|
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. |
|
| Acknowledgements
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
douglas.farenick@uregina.ca
Ali S. Kavruk:
Department of Mathematics
University of Illinois
Urbana, IL 61801, U.S.A.
askavruk@vcu.edu
Vern I. Paulsen:
Department of Pure Mathematics
University of Waterloo
Waterloo, Ontario N2L 3G1, Canada
vpaulsen@uwaterloo.ca
Ivan G. Todorov:
Pure Mathematics Research Centre
Queen's University Belfast
Belfast, BT7 1NN, United Kingdom
i.todorov@qub.ac.uk
|
|
