K-Theory for Real C*-algebras via Unitary Elements with Symmetries
Operator Algebras
2019-10-22 v3 K-Theory and Homology
Abstract
We prove that all eight KO groups for a real C*-algebra can be constructed from homotopy classes of unitary matrices that respect a variety of symmetries. In this manifestation of the KO groups, all eight boundary maps in the 24-term exact sequence associated to an ideal in a real C*-algebra can be computed as exponential or index maps with formulas that are nearly identical to the complex case.
Keywords
Cite
@article{arxiv.1504.03284,
title = {K-Theory for Real C*-algebras via Unitary Elements with Symmetries},
author = {Jeffrey L. Boersema and Terry A. Loring},
journal= {arXiv preprint arXiv:1504.03284},
year = {2019}
}
Comments
79 pages. Reorganization of sections and notational clarifications since previous edition