Divisibility properties for C*-algebras

Details Divisibility properties for C*-algebras Divisibility properties for C*-algebras

2011-06-27

arxiv.org/abs/1106.5523v2

Mathematics

Operator Algebras

Scientific paper

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 $(A_n)$ of simple unital infinite dimensional C*-algebras such that the product $\prod_{n=1}^\infty A_n$ has a character.

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