The Calderon projection over C* algebras

Abstract

We construct the Calderon projection on the space of Cauchy datas for a twisted Dirac operator in the Mischenko--Fomenko pseudodifferential calculus for operators acting on bundles of finitely generated $C^{\ast }$--Hilbert modules on a compact manifold with boundary. In particular an invertible double is constructed generalizing the classical result.

References in corpus (2)

• A relative higher index theorem, diffeomorphisms and positive scalar curvature
• The Atiyah-Patodi-Singer index theorem for Dirac operators over C*-algebras

Cited by in corpus (1)

• The Higson-Roe exact sequence and ${\ell }^2$ eta invariants