Singular coefficients in the K-theoretic Farrell-Jones conjecture
K-Theory and Homology
2016-03-09 v3
Abstract
Let G be a group and k a field of characteristic zero. We prove that if the Farrell-Jones conjecture for the K-theory of R[G] is satisfied for every smooth k-algebra R, then it is also satisfied for every commutative k-algebra R.
Cite
@article{arxiv.1403.1855,
title = {Singular coefficients in the K-theoretic Farrell-Jones conjecture},
author = {Guillermo Cortiñas and Emanuel Rodríguez Cirone},
journal= {arXiv preprint arXiv:1403.1855},
year = {2016}
}
Comments
Minor changes. Subsection 2.3 was rewritten and some references were deleted to avoid ambiguity in the definition of dg-category. Subsection 2.5 was rewritten: we only give an idea of the construction of a dg-enhancement of the derived category of perfect complexes on a scheme and provide references for the details. The proof of Theorem 3.1 (former 3.2) was shortened. 14 pages