A nonseparable amenable operator algebra which is not isomorphic to a C*-algebra
Operator Algebras
2014-03-17 v5 Logic
Abstract
It has been a longstanding problem whether every amenable operator algebra is isomorphic to a (necessarily nuclear) C*-algebra. In this note, we give a nonseparable counterexample. The existence of a separable counterexample remains an open problem. We also initiate a general study of unitarizability of representations of amenable groups in C*-algebras and show that our method cannot produce a separable counterexample.
Keywords
Cite
@article{arxiv.1309.2145,
title = {A nonseparable amenable operator algebra which is not isomorphic to a C*-algebra},
author = {Yemon Choi and Ilijas Farah and Narutaka Ozawa},
journal= {arXiv preprint arXiv:1309.2145},
year = {2014}
}
Comments
Some improvements