Families index for Boutet de Monvel operators

Elmar Schrohe (Leibniz Universit\"at Hannover); Severino Melo (Universidade de S\~ao Paulo); Thomas Schick (Georg-August Universit\"at G\"ottingen)

arxiv: 1203.0482 · v2 · pith:VU5JP5IEnew · submitted 2012-03-02 · 🧮 math.KT · math.AP· math.FA

Families index for Boutet de Monvel operators

Severino Melo (Universidade de S\~ao Paulo) , Elmar Schrohe (Leibniz Universit\"at Hannover) , Thomas Schick (Georg-August Universit\"at G\"ottingen) This is my paper

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keywords familiesoperatorsalgebraboutetindicesmonvelanalyticalatiyah-singer

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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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Families index for Boutet de Monvel operators

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