Geodesic
Reduction to Dimension Two of the Local Spectrum for an AH Algebra with the Ideal Property
Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 791-806

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DOI

A ${{C}^{*}}$ -algebra Ahas the ideal property if any ideal $I$ of $A$ is generated as a closed two-sided ideal by the projections inside the ideal. Suppose that the limit ${{C}^{*}}$ -algebra $A$ of inductive limit of direct sums of matrix algebras over spaces with uniformly bounded dimension has the ideal property. In this paper we will prove that $A$ 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 2-dimensional spaces with torsion ${{H}^{2}}$ groups.
DOI : 10.4153/CMB-2016-100-3
Mots-clés : 46L35, AH algebra, reduction, local spectrum, ideal property 
Jiang, Chunlan. Reduction to Dimension Two of the Local Spectrum for an AH Algebra with the Ideal Property. Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 791-806. doi: 10.4153/CMB-2016-100-3
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     journal = {Canadian mathematical bulletin},
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     year = {2017},
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     doi = {10.4153/CMB-2016-100-3},
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