The isomorphism relation for separable C*-algebras

George Elliott; Ilijas Farah; Vern Paulsen; Christian Rosendal; Andrew Toms; Asger Dag Törnquist

doi:10.4310/MRL.2013.v20.n6.a6

The isomorphism relation for separable C*-algebras

George Elliott, Ilijas Farah, Vern Paulsen, Christian Rosendal, Andrew Toms, Asger Dag Törnquist

Institut for Matematiske Fag

11 Citationer (Scopus)

Abstract

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

Originalsprog	Engelsk
Tidsskrift	Mathematical Research Letters
Vol/bind	20
Udgave nummer	6
Sider (fra-til)	1071–1080
ISSN	1073-2780
DOI	https://doi.org/10.4310/MRL.2013.v20.n6.a6
Status	Udgivet - 2013

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10.4310/MRL.2013.v20.n6.a6

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title = "The isomorphism relation for separable C*-algebras",

abstract = "We prove that the isomorphism relation for separable C*-algebras, the relations of complete and n-isometry for operator spaces, and the relations of unital n-order isomorphisms of operator systems, are Borel reducible to the orbit equivalence relation of a Polish group action on a standard Borel space.",

author = "George Elliott and Ilijas Farah and Vern Paulsen and Christian Rosendal and Andrew Toms and T{\"o}rnquist, {Asger Dag}",

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T1 - The isomorphism relation for separable C*-algebras

AU - Elliott, George

AU - Farah, Ilijas

AU - Paulsen, Vern

AU - Rosendal, Christian

AU - Toms, Andrew

AU - Törnquist, Asger Dag

PY - 2013

Y1 - 2013

N2 - We prove that the isomorphism relation for separable C*-algebras, the relations of complete and n-isometry for operator spaces, and the relations of unital n-order isomorphisms of operator systems, are Borel reducible to the orbit equivalence relation of a Polish group action on a standard Borel space.

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

U2 - 10.4310/MRL.2013.v20.n6.a6

DO - 10.4310/MRL.2013.v20.n6.a6

M3 - Journal article

SN - 1073-2780

VL - 20

SP - 1071

EP - 1080

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 6

ER -

The isomorphism relation for separable C*-algebras

Abstract

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