Strict comparison and Z-absorption of nuclear C*-algebras

Details Strict comparison and Z-absorption of nuclear C*-algebras Strict comparison and Z-absorption of nuclear C*-algebras

2011-11-07

arxiv.org/abs/1111.1637v1

Mathematics

Operator Algebras

14 pages

Scientific paper

For any unital separable simple infinite-dimensional nuclear C*-algebra with
finitely many extremal traces, we prove that Z-absorption, strict comparison,
and property (SI) are equivalent. We also show that any unital separable simple
nuclear C*-algebra with tracial rank zero is approximately divisible, and hence
is Z-absorbing.

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