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Simple nuclear <i>C</i> *-algebras not isomorphic to their opposites

Simple nuclear <i>C</i> *-algebras not isomorphic to their opposites

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 …