A twisted Version of controlled K-Theory
K-Theory and Homology
2022-03-17 v3 Algebraic Geometry
Metric Geometry
Operator Algebras
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.
Cite
@article{arxiv.1711.03746,
title = {A twisted Version of controlled K-Theory},
author = {Elisa Hartmann},
journal= {arXiv preprint arXiv:1711.03746},
year = {2022}
}
Comments
9 pages