On the K-theoretic classification of dynamically stable systems

Abstract

This paper deals with the construction of a suitable topological $K$-theory capable of classifying topological phases of dynamically stable systems described by gapped $\eta$-self-adjoint operators on a Krein space with indefinite metric $\eta$.

Keywords: K-theory, topological phases, Krein spaces, PT and c symmetries. 53 pg.; 8 Tables. v2: correction of few typos. Final version accepted for publication on RMP