110 citations · 266 across the 10 of their papers we have counts for
5 papers · 1 filter
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'…
On positivity of the Kadison constant and noncommutative Bloch theory
Varghese Mathai
In an earlier paper, we established a natural connection between the Baum-Connes conjecture and noncommutative Bloch theory, viz. the spectral theory of projectively periodic ellip…
Approximating torsion on amenable covering spaces
Jozef Dodziuk, Varghese Mathai, Stuart Yates
It was pointed out to us that the proof of a crucial lemma (Lemma 5.3) in the paper is incorrect. Thus the approximation theorem (Theorem 0.1) for L^2 torsion of an amenable coveri…
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…
Approximating Spectral invariants of Harper operators on graphs
V. Mathai, S. Yates
We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a graph with a free action of a discrete group, as defined by Sunada. A main result in this…