Simple nuclear <i>C</i>*-algebras not isomorphic to their opposites.
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- Record sourced from PubMed, PMID 28559339.
- Also identified by DOI 10.1073/pnas.1619936114 and PMC identifier 5474777.
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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 [Formula: see text]-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 [Formula: see text] or of the canonical anticommutation relations (CAR) algebra.