1. CJM 2011 (vol 64 pp. 705)
|Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism|
It is shown that simplicity of the crossed product of a unital 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.
Keywords:purely infinite $C^*$-algebras, crossed products