Homotopical and operator algebraic twisted K-theory
Algebraic Topology
2021-12-22 v3 K-Theory and Homology
Operator Algebras
Abstract
Using the framework for multiplicative parametrized homotopy theory introduced in joint work with C. Schlichtkrull, we produce a multiplicative comparison between the homotopical and operator algebraic constructions of twisted K-theory, both in the real and complex case. We also improve several comparison results about twisted K-theory of C*-algebras to include multiplicative structures. Our results can also be interpreted in the infinity-categorical setup for parametrized spectra.
Cite
@article{arxiv.1904.01872,
title = {Homotopical and operator algebraic twisted K-theory},
author = {Fabian Hebestreit and Steffen Sagave},
journal= {arXiv preprint arXiv:1904.01872},
year = {2021}
}
Comments
v3: 32 pages, minor revision. Accepted for publication in Mathematische Annalen