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arxiv: 1301.7108 · v1 · pith:R6FRO5XJnew · submitted 2013-01-30 · 🧮 math.OA

The isomorphism relation for separable C*-algebras

classification 🧮 math.OA
keywords relationalgebrasborelisomorphismseparableactioncompleteequivalence
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We prove that the isomorphism relation for separable C$^*$-algebras, and also the relations of complete and $n$-isometry for operator spaces and systems, are Borel reducible to the orbit equivalence relation of a Polish group action on a standard Borel space.

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