Families index for Boutet de Monvel operators

Details Families index for Boutet de Monvel operators Families index for Boutet de Monvel operators

2012-03-02

arxiv.org/abs/1203.0482v1

Mathematics

K-Theory and Homology

22 pages

Scientific paper

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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