|Title:||A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC to A||Journal:||Forum of Mathematics, Sigma||Volume:||2||Issue Date:||1-Feb-2014||ISSN:||2050-5094||DOI:||10.1017/fms.2013.6||Abstract:||
It has been a long-standing question whether every amenable operator algebra is isomorphic to a (necessarily nuclear) algebra. In this note, we give a nonseparable counterexample. Finding out whether a separable counterexample exists remains an open problem. We also initiate a general study of unitarizability of representations of amenable groups in algebras and show that our method cannot produce a separable counterexample.
|Publisher:||Cambridge University Press|
Show full item record
checked on Dec 3, 2023
checked on Dec 1, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.