Centers of $C^*$-algebras rich in modular ideals

Details Centers of $C^*$-algebras rich in modular ideals Centers of $C^*$-algebras rich in modular ideals

2011-02-13

arxiv.org/abs/1102.2586v2

Mathematics

Operator Algebras

5 pages, one figure. The main result in the previous version has been generalized and new results have been added

Scientific paper

We provide, in the spirit of a 1968 paper of C. Delaroche, new conditions
under which a $C^*$-algebra has a nonzero center.We also present an example of
a (separable) AF algebra with center $\{0\}$ but whose all the primitive ideals
are modular, thus answering a question from that paper of Delaroche.

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