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

Aldo J. Lazar

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

Operator Algebras 2011-04-07 v2

Authors: Aldo J. Lazar

Abstract

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.

Keywords

c*-algebra center modular ideal primitive ideal af algebra

Cite

@article{arxiv.1102.2586,
  title  = {Centers of $C^*$-algebras rich in modular ideals},
  author = {Aldo J. Lazar},
  journal= {arXiv preprint arXiv:1102.2586},
  year   = {2011}
}

Comments

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

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