The K-theory of bisingular pseudodifferential algebras

preprint2015arXivOpen access

Abstract

In this paper we calculate the K-theory of C∗C^{\ast}-algebras given by the norm-closures of spaces of bisingular pseudodifferential operators. We obtain results for the \emph{global} bisingular calculus in the flat ($\Rr^{n_1 + n_2}$) case.

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