Locally AH-Algebras

Locally AH-Algebras
Author :
Publisher : American Mathematical Soc.
Total Pages : 122
Release :
ISBN-10 : 9781470414665
ISBN-13 : 147041466X
Rating : 4/5 (65 Downloads)

Book Synopsis Locally AH-Algebras by : Huaxin Lin

Download or read book Locally AH-Algebras written by Huaxin Lin and published by American Mathematical Soc.. This book was released on 2015-04-09 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unital separable -algebra, is said to be locally AH with no dimension growth if there is an integer satisfying the following: for any and any compact subset there is a unital -subalgebra, of with the form , where is a compact metric space with covering dimension no more than and is a projection, such that The authors prove that the class of unital separable simple -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 -algebras which are locally AH with no dimension growth are isomorphic to a unital simple AH-algebra with no dimension growth.


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