The Calderon projection over C* algebras

preprint2013arXivOpen access

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∗C^*--Hilbert modules on a compact manifold with boundary. In particular an invertible double is constructed generalizing the classical result.

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