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
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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