Unitary equivalence of automorphisms of separable C*-algebras |
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| Authors: | Martino Lupini |
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| Affiliation: | 1. Department of Mathematics and Statistics, N520 Ross, 4700 Keele Street, Toronto ON M3J 1P3, Canada;2. Fields Institute for Research in Mathematical Sciences, 222 College Street, Toronto ON M5T 3J1, Canada |
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| 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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| Keywords: | 03E15 46L40 46L57 |
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