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Reduction to Dimension Two of Local Spectrum for Simple AH Algebras


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1 Department of Mathematics, University of Puerto Rico, Rio Piedras, PR 00931-3355, United States
     

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It is proved in this paper that an inductive limit of matrix algebras over spaces with uniformly bounded dimension can be written as an inductive limit of certain very special subhomogeneous algebras-namely, direct sum of dimension drop interval algebras and matrix algebras over two dimensional spaces with torsion H2 groups.
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  • Reduction to Dimension Two of Local Spectrum for Simple AH Algebras

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Authors

Liangqing Li
Department of Mathematics, University of Puerto Rico, Rio Piedras, PR 00931-3355, United States

Abstract


It is proved in this paper that an inductive limit of matrix algebras over spaces with uniformly bounded dimension can be written as an inductive limit of certain very special subhomogeneous algebras-namely, direct sum of dimension drop interval algebras and matrix algebras over two dimensional spaces with torsion H2 groups.