Characterizing classifiable AH algebras

Details Characterizing classifiable AH algebras Characterizing classifiable AH algebras

2011-02-04

arxiv.org/abs/1102.0932v1

Mathematics

Operator Algebras

3 pages, closes a gap in the proof of Theorem 1.2, arXiv:0910.2061

Scientific paper

We observe almost divisibility for the original Cuntz semigroup of a simple
AH algebra with strict comparison. As a consequence, the properties of strict
comparison, finite nuclear dimension, and Z-stability are equivalent for such
algebras, confirming partially a conjecture of Winter and the author.

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