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arXiv · 1711.03746

A twisted Version of controlled K-Theory

Elisa Hartmann
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Abstract

There are a number of (co-)homology theories on coarse spaces. Controlled operator K-theory is by far the most popular one of them. Our approach is geometric. We study when does the Roe-algebra of a space restrict to a subspace. Then we show the Roe-algebra is a cosheaf on the coarse topology. A result is a Mayer-Vietoris exact sequence in the presence of a coarse cover. We compute examples as an application.

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Elisa Hartmann. 2017-11-10. A twisted Version of controlled K-Theory. https://arxiv.org/abs/1711.03746

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