Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism

Thomsen, Klaus

Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 705-720

Résumé

It is shown that simplicity of the crossed product of a unital $\text{AH}$ -algebra with slow dimension growth by an endomorphism implies that the algebra is also purely infinite, provided only that the endomorphism leaves no trace state invariant and takes the unit to a full projection.

Détail

DOI : 10.4153/CJM-2011-081-4

Mots-clés : 46-xx, purely infinite C*-algebras, crossed products

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