110 citations · 266 across the 10 of their papers we have counts for
7 papers · 1 filter
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…
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…
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…
Twisted index theory on good orbifolds, I: noncommutative Bloch theory
Matilde Marcolli, Varghese Mathai
This paper, together with Part II, expands the results of math.DG/9803051. In Part I we study the twisted index theory of elliptic operators on orbifold covering spaces of compact…
Quantum Hall Effect on the Hyperbolic Plane in the presence of disorder
A. Carey, K. Hannabuss, V. Mathai
We study both the continuous model and the discrete model of the integer quantum Hall effect on the hyperbolic plane in the presence of disorder, extending the results of an earlie…