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arXiv · 1106.2419

On a quantitative operator K-theory

Hervé Oyono-Oyono·Guoliang Yu
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Abstract

In this paper, we develop a quantitative K-theory for filtered C*-algebras. Particularly interesting examples of filtered C*-algebras include group C*-algebras, crossed product C*-algebras and Roe algebras. We prove a quantitative version of the six term exact sequence and a quantitative Bott periodicity. We apply the quantitative K-theory to formulate a quantitative version of the Baum-Connes conjecture and prove that the quantitative Baum-Connes conjecture holds for a large class of groups.

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BibTeXRIS

Hervé Oyono-Oyono, Guoliang Yu. 2012-04-14. On a quantitative operator K-theory. https://arxiv.org/abs/1106.2419

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