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Purely Infinite, Simple C*-Algebras Arising From Free Product Constructions

Published online by Cambridge University Press:  20 November 2018

Kenneth J. Dykema  and
Mikael Rørdam
Kenneth J. Dykema
Affiliation:
Department of Mathematics and Computer Science Odense UniversityDK-5230 Odense M Denmark
Mikael Rørdam
Affiliation:
Department of Mathematics and Computer Science Odense UniversityDK-5230 Odense M Denmark
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Abstract

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Examples of simple, separable, unital, purely infinite ${{C}^{*}}$-algebras are constructed, including:

  1. (1) some that are not approximately divisible;

  2. (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. (3) those that arise as reduced free products of pairs of ${{C}^{*}}$-algebras with respect to any from a certain class of states.

Keywords

46L0546L45
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 2 , 01 April 1998 , pp. 323 - 341
Copyright
Copyright © Canadian Mathematical Society 1998

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