Locally AH-Algebras

· American Mathematical Soc.
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109
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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.

 

Muallif haqida

Huaxin Lin, University of Oregon, Eugene, OR, USA. The Research Center for Operator Algebras, East China Normal University, Shanghai, China.

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