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

Department of Mathematical Sciences

11 Citations (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.

Original language	English
Journal	Mathematical Research Letters
Volume	20
Issue number	6
Pages (from-to)	1071–1080
ISSN	1073-2780
DOIs	https://doi.org/10.4310/MRL.2013.v20.n6.a6
Publication status	Published - 2013

Access to Document

10.4310/MRL.2013.v20.n6.a6

Cite this

@article{2b5661e53d1a45bea954db7c2ec43198,

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}",

year = "2013",

doi = "10.4310/MRL.2013.v20.n6.a6",

language = "English",

volume = "20",

pages = "1071–1080",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "Mathematical Publishing",

number = "6",

}

TY - JOUR

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

Access to Document

Fingerprint

Cite this