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

Kenneth J. Dykema·Mikael Rordam
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Abstract

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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BibTeXRIS

Kenneth J. Dykema, Mikael Rordam. 1996-01-23. Purely infinite simple $C^*$-algebras arising from free product constructions. https://arxiv.org/abs/funct-an/9601004

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