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Unitary equivalence of automorphisms of separable C*-algebras (1304.3502v1)

Published 11 Apr 2013 in math.OA

Abstract: We prove that the automorphisms of any separable C*-algebra that does not have continuous trace are not classifiable by countable structures up to unitary equivalence. This implies a dichotomy for the Borel complexity of the relation of unitary equivalence of automorphisms of a separable unital C*-algebra: Such relation is either smooth or not even classifiable by countable structures.

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