Remarks on ghost projections and ideals in the Roe algebras of expander sequences |
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Authors: | Qin Wang |
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Institution: | (1) Department of Applied Mathematics, Donghua University, Shanghai, 200051, P. R. China |
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Abstract: | We use repeating sequences of expander graphs or small perturbations of expanders to present examples of ideals in the Roe
algebras of bounded geometry discrete metric spaces which cannot be expressed as the sum of a ghost ideal and an ideal in
which finite propagation operators are dense. This gives a negative answer to a question in 1, 3].
Received: 9 December 2006, Revised: 18 April 2007 |
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Keywords: | 46L80 46L89 |
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