Families index for Boutet de Monvel operators
  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. 
Severino Melo (Universidade de S\~ao Paulo), Elmar Schrohe (Leibniz   Universit\"at Hannover), Thomas Schick (Georg-August U...
math.KT math.AP math.FA