A Short Return to Simple Ah-Algebras with Real Rank Zero
Keyword(s):
Rank One
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Let $A$ be a unital simple AH-algebra with stable rank one and real rank zero such that $kx=0$ for all $x\in\operatorname{ker}\rho_A$, the subgroup of infinitesmal elements in $K_0(A)$, and for the same integer $k\ge 1$. We show that $A$ has tracial rank zero and is isomorphic to a unital simple AH-algebra with no dimension growth.
2003 ◽
Vol 46
(3)
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pp. 388-399
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Keyword(s):
2001 ◽
Vol 13
(12)
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pp. 1505-1528
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Keyword(s):
2008 ◽
Vol 28
(4)
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pp. 1215-1241
Keyword(s):
1997 ◽
Vol 08
(03)
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pp. 383-405
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Keyword(s):
1996 ◽
Vol 139
(2)
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pp. 325-348
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