Locally AH-Algebras
apr. 2015 · American Mathematical Soc.
E-knjiga
109
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O tej e-knjigi
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.
O avtorju
Huaxin Lin, University of Oregon, Eugene, OR, USA. The Research Center for Operator Algebras, East China Normal University, Shanghai, China.
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