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• W1740579609 abstract "We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from $mathbb{Z}^N$ to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces. Using this machinery and recent ideas of Lindner and Seidel, we show that if a metric space X has Yu's property A, then a band-dominated operator on X is Fredholm if and only if all of its limit operators are invertible. We also show that this always fails for metric spaces without property A." @default.
• W1740579609 created "2016-06-24" @default.
• W1740579609 creator A5066327449 @default.
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• W1740579609 date "2014-08-04" @default.
• W1740579609 modified "2023-10-01" @default.
• W1740579609 title "A metric approach to limit operators" @default.
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• W1740579609 hasPublicationYear "2014" @default.
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