1 citations · 2 across the 2 of their papers we have counts for
9 papers
A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary
Johannes Aastrup, Ryszard Nest, Elmar Schrohe
For a smooth manifold with boundary we construct a semigroupoid and a continuous field of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asympto…
Remarks on modules over deformation quantization algebras
Ryszard Nest, Boris Tsygan
We study an asymptotic version of the Maslov-Hormander construction of Lagrangian distributions in terms of deformation quantization.
C*-Structure and K-Theory of Boutet de Monvel's Algebra
S. T. Melo, R. Nest, E. Schrohe
We consider the norm closure of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold with boundary . We first describe the i…
The Connes-Kasparov conjecture for almost connected groups
Jerome Chabert, Siegfried Echterhoff, Ryszard Nest
Let be a locally compact group with cocompact connected component. We prove that the assembly map from the topological $\k$-theory of to the $\k$-theory of the reduced $C^*…
Local formula for the index of a Fourier Integral Operator
Eric Leichtnam, Ryszard Nest, Boris Tsygan
We show that the index of an elliptic Fourier integral operator associated to a contact diffeomorphism of cosphere bundles of two Riemannian manifolds X and Y is given by $\int…
Riemann-Roch via deformation quantization, II
Paul Bressler, Ryszard Nest, Boris Tsygan
We prove a Riemann-Roch formula for deformation quantization of complex manifolds and its corollary, an index theorem for elliptic pairs conjectured by Schapira and Schneiders.