Authors: Farah, Ilijas 
Hirshberg, Ilan
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

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