A Bott periodicity proof for real graded $C^\ast$-algebras
K-Theory and Homology
2017-11-06 v2 Functional Analysis
Operator Algebras
Abstract
We give a proof of Bott periodicity for real graded -algebras in terms of K- theory and E-theory. Guentner and Higson proved a similar result in the complex graded case but we extend this to cover all graded -algebras. We obtain the 8-fold periodicity in E-theory by constructing two maps that are inverse to each other.
Cite
@article{arxiv.1611.09887,
title = {A Bott periodicity proof for real graded $C^\ast$-algebras},
author = {Sarah L. Browne},
journal= {arXiv preprint arXiv:1611.09887},
year = {2017}
}