A direct proof of Z-stability for AH algebras of bounded topological dimension

Details A direct proof of Z-stability for AH algebras of bounded topological dimension A direct proof of Z-stability for AH algebras of bounded topological dimension

2008-06-17

arxiv.org/abs/0806.2855v1

Mathematics

Operator Algebras

15 pages, no figures

Scientific paper

We prove that a unital simple approximately homogeneous (AH) C*-algebra with
no dimension growth absorbs the Jiang-Su algebra tensorially without appealing
to the classification theory of these algebras. Our main result continues to
hold under the slightly weaker hypothesis of exponentially slow dimension
growth.

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