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arXiv · 1203.0482

Families index for Boutet de Monvel operators

Severino Melo·Elmar Schrohe·Thomas Schick
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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.

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Severino Melo, Elmar Schrohe, Thomas Schick. 2012-03-02. Families index for Boutet de Monvel operators. https://arxiv.org/abs/1203.0482

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