2016/11/29 by Sarah L. Browne, Browne, Sarah L.
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1611.09887
We give a proof of Bott periodicity for real graded C^∗-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^∗-algebras. We obtain the 8-fold periodicity in E-theory by constructing two maps that are inverse to each other.