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arXiv · 1611.09887

A Bott periodicity proof for real graded $C^\ast$-algebras

Sarah L. Browne
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Abstract

We give a proof of Bott periodicity for real graded $C^\ast$-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 $C^\ast$-algebras. We obtain the 8-fold periodicity in E-theory by constructing two maps that are inverse to each other.

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Sarah L. Browne. 2016-11-29. A Bott periodicity proof for real graded $C^\ast$-algebras. https://arxiv.org/abs/1611.09887

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