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

preprint1996arXivOpen access

Abstract

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

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