Freed-Moore K-theory
K-Theory and Homology
2021-02-23 v4
Abstract
The twisted equivariant K-theory given by Freed and Moore is a K-theory which unifies twisted equivariant complex K-theory, Atiyah's `Real' K-theory, and their variants. In a general setting, we formulate this K-theory by using Fredholm operators, and establish basic properties such as the Bott periodicity and the Thom isomorphism. We also provide formulations of the K-theory based on Karoubi's gradations in both infinite and finite dimensions, clarifying their relationship with the Fredholm formulation.
Cite
@article{arxiv.1705.09134,
title = {Freed-Moore K-theory},
author = {Kiyonori Gomi},
journal= {arXiv preprint arXiv:1705.09134},
year = {2021}
}
Comments
61 pages, LaTeX 2e; Some proof are revised