A direct proof of Z-stability for approximately homogeneous C∗-algebras of bounded topological dimension
نویسندگان
چکیده
We prove that a unital simple approximately homogeneous 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.
منابع مشابه
A Direct Proof of Z-stability for Ah Algebras of Bounded Topological Dimension
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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