59 citations · 122 across the 7 of their papers we have counts for
6 papers
Parametrised strict deformation quantization of C*-bundles and Hilbert C*-modules
K. C. Hannabuss, V. Mathai
In this paper, we use the parametrised strict deformation quantization of C*-bundles obtained in a previous paper, and give more examples and applications of this theory. In partic…
The index of projective families of elliptic operators: the decomposable case
V. Mathai, R. B. Melrose, I. M. Singer
An index theory for projective families of elliptic pseudodifferential operators is developed when the twisting, i.e. Dixmier-Douady, class is decomposable. One of the features of…
C*-algebras in tensor categories
P. Bouwknegt, K. Hannabuss, V. Mathai
We define and systematically study nonassociative C*-algebras as C*-algebras internal to a topological tensor category. We also offer a concrete approach to these C*-algebras, as G…
Fractional analytic index
V. Mathai, R. B. Melrose, I. M. Singer
For a finite rank projective bundle over a compact manifold, so associated to a torsion, Dixmier-Douady, 3-class, w, on the manifold, we define the ring of differential operators `…
The index of projective families of elliptic operators
Varghese Mathai, Richard B Melrose, Isadore M Singer
An index theory for projective families of elliptic pseudodifferential operators is developed. The topological and the analytic index of such a family both take values in twisted K…
Semiclassical asymptotics and gaps in the spectra of magnetic Schroedinger operators
V. Mathai, M. Shubin
In this paper, we study an L2 version of the semiclassical approximation of magnetic Schroedinger operators with invariant Morse type potentials on covering spaces of compact manif…