Publications (25)
Quantum Hall Effect and Noncommutative Geometry
A. Carey, K. Hannabuss, V. Mathai
We study magnetic Schrodinger operators with random or almost periodic electric potentials on the hyperbolic plane, motivated by the quantum Hall effect in which the hyperbolic geo…
Twisted K-homology theory, twisted Ext-theory
V. Mathai, I. M. Singer
These are notes on twisted K-homology theory and twisted Ext-theory from the C*-algebra viewpoint, part of a series of talks on ``C*-algebras, noncommutative geometry and K-theory'…
Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles
K. C. Hannabuss, V. Mathai
In this paper, we initiate the study of nonassociative strict deformation quantization of C*-algebras with a torus action. We shall also present a definition of nonassociative prin…
T-Duality: Topology Change from H-flux
P. Bouwknegt, J. Evslin, V. Mathai
T-duality acts on circle bundles by exchanging the first Chern class with the fiberwise integral of the H-flux, as we motivate using E_8 and also using S-duality. We present known…
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory
Y. Kordyukov, V. Mathai, M. Shubin
In this paper, we study a refined L2 version of the semiclassical approximation of projectively invariant elliptic operators with invariant Morse type potentials on covering spaces…
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…