Twisted K-theory and finite-dimensional approximation
K-Theory and Homology
2015-05-13 v2 Algebraic Topology
Abstract
We provide a finite-dimensional model of the twisted K-group twisted by any degree three integral cohomology class of a CW complex. One key to the model is Furuta's generalized vector bundle, and the other is a finite-dimensional approximation of Fredholm operators.
Keywords
Cite
@article{arxiv.0803.2327,
title = {Twisted K-theory and finite-dimensional approximation},
author = {Kiyonori Gomi},
journal= {arXiv preprint arXiv:0803.2327},
year = {2015}
}
Comments
26 pages, LaTeX 2e, Xypic; main theorem improved