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The Calderon projection over C* algebras

Published 8 Jul 2013 in math.DG | (1307.1968v2)

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

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