English

Purely infinite simple $C^*$-algebras arising from free product constructions

funct-an 2016-08-31 v1 Operator Algebras

Abstract

Examples of simple, separable, unital, purely infinite CC^*--algebras are constructed, including: (1) some that are not approximately divisible; (2) those that arise as crossed products of any of a certain class of CC^*--algebras by any of a certain class of non--unital endomorphisms; (3) those that arise as reduced free products of pairs of CC^*--algebras with respect to any from a certain class of states.

Keywords

Cite

@article{arxiv.funct-an/9601004,
  title  = {Purely infinite simple $C^*$-algebras arising from free product constructions},
  author = {Kenneth J. Dykema and Mikael Rordam},
  journal= {arXiv preprint arXiv:funct-an/9601004},
  year   = {2016}
}

Comments

22 pages, AMS-tex