English

The isomorphism relation for separable C*-algebras

Operator Algebras 2013-01-31 v1

Abstract

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

Keywords

Cite

@article{arxiv.1301.7108,
  title  = {The isomorphism relation for separable C*-algebras},
  author = {George A. Elliott and Ilijas Farah and Vern Paulsen and Christian Rosendal and Andrew S. Toms and Asger Törnquist},
  journal= {arXiv preprint arXiv:1301.7108},
  year   = {2013}
}
R2 v1 2026-06-21T23:17:33.540Z