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

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

1996-01-23

arxiv.org/abs/funct-an/9601004v1

Mathematics

Operator Algebras

22 pages, AMS-tex

Scientific paper

Examples of simple, separable, unital, purely infinite $C^*$--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 $C^*$--algebras by any of a certain class of non--unital endomorphisms; (3) those that arise as reduced free products of pairs of $C^*$--algebras with respect to any from a certain class of states.

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