English

A universal coarse K-theory

K-Theory and Homology 2017-05-18 v2

Abstract

In this paper, we construct an equivariant coarse homology theory with values in the category of non-commutative motives of Blumberg, Gepner and Tabuada, with coefficients in any small additive category. Equivariant coarse K-theory is obtained from the latter by passing to global sections. The present construction extends joint work of the first named author with Engel, Kasprowski and Winges by promoting codomain of the equivariant coarse K-homology functor to non-commutative motives.

Keywords

Cite

@article{arxiv.1705.05080,
  title  = {A universal coarse K-theory},
  author = {Ulrich Bunke and Denis-Charles Cisinski},
  journal= {arXiv preprint arXiv:1705.05080},
  year   = {2017}
}

Comments

28 pages (correction in the abstract: n.c. motives are attributed to Blumberg, Gepner and Tabuada)

R2 v1 2026-06-22T19:46:48.665Z