Families index for Boutet de Monvel operators

Abstract

We define the analytical and the topological indices for continuous families of operators in the C*-closure of the Boutet de Monvel algebra. Using techniques of C*-algebra K-theory and the Atiyah-Singer theorem for families of elliptic operators on a closed manifold, we prove that these two indices coincide.

to appear in Münster Journal of Mathematics. v2: stylistic changes for Münster Journal of Mathematics; 14 pages

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