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arXiv · 1301.7108

The isomorphism relation for separable C*-algebras

George A. Elliott·Ilijas Farah·Vern Paulsen·Christian Rosendal·Andrew S. Toms·Asger Törnquist
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Abstract

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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George A. Elliott, Ilijas Farah, Vern Paulsen, Christian Rosendal, Andrew S. Toms, Asger Törnquist. 2013-01-30. The isomorphism relation for separable C*-algebras. https://arxiv.org/abs/1301.7108

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