Axiomatizability of the stable rank of C*-algebras

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Standard

Axiomatizability of the stable rank of C*-algebras. / Farah, Ilijas; Rørdam, Mikael.

I: Muenster Journal of Mathematics, Bind 10, Nr. 2, 2017, s. 269-275.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Farah, I & Rørdam, M 2017, 'Axiomatizability of the stable rank of C*-algebras', Muenster Journal of Mathematics, bind 10, nr. 2, s. 269-275. https://doi.org/10.17879/33249445432

APA

Farah, I., & Rørdam, M. (2017). Axiomatizability of the stable rank of C*-algebras. Muenster Journal of Mathematics, 10(2), 269-275. https://doi.org/10.17879/33249445432

Vancouver

Farah I, Rørdam M. Axiomatizability of the stable rank of C*-algebras. Muenster Journal of Mathematics. 2017;10(2):269-275. https://doi.org/10.17879/33249445432

Author

Farah, Ilijas ; Rørdam, Mikael. / Axiomatizability of the stable rank of C*-algebras. I: Muenster Journal of Mathematics. 2017 ; Bind 10, Nr. 2. s. 269-275.

Bibtex

@article{0dd25492a928488ca779fe2f1893ebac,
title = "Axiomatizability of the stable rank of C*-algebras",
abstract = "We show that the class of C*-algebras with stable rank greater than a given positive integer is axiomatizable in logic of metric structures. As a consequence we show that the stable rank is continuous with respect to forming ultrapowers of C*-algebras, and that stable rank is Kadison–Kastler stable.",
author = "Ilijas Farah and Mikael R{\o}rdam",
year = "2017",
doi = "10.17879/33249445432",
language = "English",
volume = "10",
pages = "269--275",
journal = "Muenster Journal of Mathematics",
issn = "1867-5778",
publisher = "Mu¨nster : Mathematical Institutes Mu¨nster, Universita¨t Mu¨nster",
number = "2",

}

RIS

TY - JOUR

T1 - Axiomatizability of the stable rank of C*-algebras

AU - Farah, Ilijas

AU - Rørdam, Mikael

PY - 2017

Y1 - 2017

N2 - We show that the class of C*-algebras with stable rank greater than a given positive integer is axiomatizable in logic of metric structures. As a consequence we show that the stable rank is continuous with respect to forming ultrapowers of C*-algebras, and that stable rank is Kadison–Kastler stable.

AB - We show that the class of C*-algebras with stable rank greater than a given positive integer is axiomatizable in logic of metric structures. As a consequence we show that the stable rank is continuous with respect to forming ultrapowers of C*-algebras, and that stable rank is Kadison–Kastler stable.

U2 - 10.17879/33249445432

DO - 10.17879/33249445432

M3 - Journal article

VL - 10

SP - 269

EP - 275

JO - Muenster Journal of Mathematics

JF - Muenster Journal of Mathematics

SN - 1867-5778

IS - 2

ER -

ID: 195899921