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

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.

References in corpus (1)

• E-Theory for C*-algebras over topological spaces

Cited by in corpus (1)

• E-theory Spectra for graded C*-algebras