On the quasidiagonality of Roe algebras |
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Authors: | WEI ShuYun |
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Institution: | WEI ShuYun Department of Mathematics,Soochow University,Suzhou 215006,China |
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Abstract: | Let X be a noncompact discrete metric space with bounded geometry. Associated with X are two C*-algebras, the so-called uniform Roe algebra B*(X) and coarse Roe algebra C*(X), which arose from the index theory on noncompact complete Riemannian manifolds. In this paper, we describe the quasidiagonality of B*(X) and C*(X) in terms of coarse geometric invariants. Some necessary and suficient conditions are given, which involve the Fredholm index and coarse connectedness of metric spaces. |
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Keywords: | Roe algebra quasidiagonality coarse geometry |
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