Pure infiniteness of the crossed product of an AH-algebra by an endomorphism

Details Pure infiniteness of the crossed product of an AH-algebra by an endomorphism Pure infiniteness of the crossed product of an AH-algebra by an endomorphism

2010-10-05

arxiv.org/abs/1010.0960v2

Mathematics

Operator Algebras

14 pages

Scientific paper

It is shown that the crossed product of a unital AH-algebra with slow
dimension growth by an endomorphism is purely infinite when it is simple,
provided the endomorphism does not leave a trace state invariant and maps the
unit to a full projection.

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