On the topological K-theory of twisted equivariant perfect complexes
K-Theory and Homology
2022-03-24 v4 Algebraic Geometry
Abstract
We construct a comparison map from the topological K-theory of the dg-category of twisted perfect complexes on certain global quotient stacks to twisted equivariant K-theory, generalizing constructions of Halpern-Leistner-Pomerleano and Moulinos. We prove that this map is an equivalence if a version of the projective bundle theorem holds for twisted equivariant K-theory. Along the way, we give a new proof of a theorem of Moulinos that the comparison map is an equivalence in the non-equivariant case.
Keywords
Cite
@article{arxiv.1901.06806,
title = {On the topological K-theory of twisted equivariant perfect complexes},
author = {Michael K. Brown and Tasos Moulinos},
journal= {arXiv preprint arXiv:1901.06806},
year = {2022}
}
Comments
14 pages. Final version, to appear in HHA