Reduction to Dimension Two of the Local Spectrum for an AH Algebra with the Ideal Property
2017 ◽
Vol 60
(4)
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pp. 791-806
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AbstractA C*-algebra Ahas the ideal property if any ideal I of Ais 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 H2 groups.
2006 ◽
Vol 80
(3)
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pp. 317-333
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2011 ◽
Vol 63
(2)
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pp. 381-412
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1969 ◽
Vol 21
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pp. 301-309
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1989 ◽
Vol 12
(3)
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pp. 429-434
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1994 ◽
Vol 17
(4)
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pp. 661-666
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1960 ◽
Vol 12
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pp. 107-125
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