Divisibility properties for C*-algebras

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Divisibility properties for C*-algebras. / Robert, Leonel; Rørdam, Mikael.

I: Proceedings of the London Mathematical Society, Bind 106, Nr. 6, 2013, s. 1330-1370.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Robert, L & Rørdam, M 2013, 'Divisibility properties for C*-algebras', Proceedings of the London Mathematical Society, bind 106, nr. 6, s. 1330-1370. https://doi.org/10.1112/plms/pds082

APA

Robert, L., & Rørdam, M. (2013). Divisibility properties for C*-algebras. Proceedings of the London Mathematical Society, 106(6), 1330-1370. https://doi.org/10.1112/plms/pds082

Vancouver

Robert L, Rørdam M. Divisibility properties for C*-algebras. Proceedings of the London Mathematical Society. 2013;106(6):1330-1370. https://doi.org/10.1112/plms/pds082

Author

Robert, Leonel ; Rørdam, Mikael. / Divisibility properties for C*-algebras. I: Proceedings of the London Mathematical Society. 2013 ; Bind 106, Nr. 6. s. 1330-1370.

Bibtex

@article{60f3a83136c54948b536363a068a9323,
title = "Divisibility properties for C*-algebras",
abstract = "We consider three notions of divisibility in the Cuntz semigroup of a C*-algebra, and show how they reflect properties of the C*-algebra. We develop methods to construct (simple and non-simple) C*-algebras with specific divisibility behaviour. As a byproduct of our investigations, we show that there exists a sequence (An) of simple unital infinite dimensional C*-algebras such that the product ∏n=1∞ An has a character.",
author = "Leonel Robert and Mikael R{\o}rdam",
year = "2013",
doi = "10.1112/plms/pds082",
language = "English",
volume = "106",
pages = "1330--1370",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "Oxford University Press",
number = "6",

}

RIS

TY - JOUR

T1 - Divisibility properties for C*-algebras

AU - Robert, Leonel

AU - Rørdam, Mikael

PY - 2013

Y1 - 2013

N2 - We consider three notions of divisibility in the Cuntz semigroup of a C*-algebra, and show how they reflect properties of the C*-algebra. We develop methods to construct (simple and non-simple) C*-algebras with specific divisibility behaviour. As a byproduct of our investigations, we show that there exists a sequence (An) of simple unital infinite dimensional C*-algebras such that the product ∏n=1∞ An has a character.

AB - We consider three notions of divisibility in the Cuntz semigroup of a C*-algebra, and show how they reflect properties of the C*-algebra. We develop methods to construct (simple and non-simple) C*-algebras with specific divisibility behaviour. As a byproduct of our investigations, we show that there exists a sequence (An) of simple unital infinite dimensional C*-algebras such that the product ∏n=1∞ An has a character.

U2 - 10.1112/plms/pds082

DO - 10.1112/plms/pds082

M3 - Journal article

VL - 106

SP - 1330

EP - 1370

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 6

ER -

ID: 117194666