Locally AH-Algebras |
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Author:
| Lin, Huaxin |
Series title: | Memoirs of the American Mathematical Society Ser. |
ISBN: | 978-1-4704-1466-5 |
Publication Date: | May 2015 |
Publisher: | American Mathematical Society
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Book Format: | Paperback |
List Price: | USD $81.00USD $81.00 |
Book Description:
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The authors prove that the class of unital separable simple $C^\ast$-algebras which are locally AH with no dimension growth can be classified up to isomorphism by their Elliott invariant. As a consequence unital separable simple $C^\ast$-algebras which are locally AH with no dimension growth are isomorphic to a unital simple AH-algebra with no dimension growth.
The authors prove that the class of unital separable simple $C^\ast$-algebras which are locally AH with no dimension growth can be classified up to isomorphism by their Elliott invariant. As a consequence unital separable simple $C^\ast$-algebras which are locally AH with no dimension growth are isomorphic to a unital simple AH-algebra with no dimension growth.