Smooth functions on algebraic K-theory
K-Theory and Homology
2016-02-22 v1 Algebraic Geometry
Abstract
For any complex scheme X or any dg category, there is an associated K-theory presheaf on the category of complex affine schemes. We study real smooth functions on this presheaf, defined by Kan extension, and show that they are closely related to real Deligne cohomology. When X is quasi-compact and semi-separated, and for various non-commutative derived schemes, these smooth functions on K-theory are dual to the homotopy fibre of the Chern character from Blanc's semi-topological K-theory to cyclic homology.
Cite
@article{arxiv.1602.06222,
title = {Smooth functions on algebraic K-theory},
author = {J. P. Pridham},
journal= {arXiv preprint arXiv:1602.06222},
year = {2016}
}
Comments
16 pp