|Title:||Simple nuclear C∗-algebras not isomorphic to their opposites||Journal:||Proceedings of the National Academy of Sciences of the United States of America||Volume:||114||Issue:||24||First page:||6244||Last page:||6249||Issue Date:||13-Jun-2017||Rank:||M21a||ISSN:||0027-8424||DOI:||10.1073/pnas.1619936114||Abstract:||
We show that it is consistent with Zermelo-Fraenkel set theory with the axiom of choice (ZFC) that there is a simple nuclear nonseparable C-algebra, which is not isomorphic to its opposite algebra. We can furthermore guarantee that this example is an inductive limit of unital copies of the Cuntz algebra O2 or of the canonical anticommutation relations (CAR) algebra.
|Keywords:||CC∗-algebras | Glimm dichotomy | Jensen's diamond | Naimark's problem | Opposite algebra||Publisher:||National Academy of Sciences|
Show full item record
checked on Nov 27, 2023
checked on Nov 28, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.