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- Varghese Mathai
- 2004

It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with H-flux do… (More)

- JOZEF DODZIUK, Varghese Mathai
- 1997

In this paper, we prove that the L 2 Betti numbers of an amenable covering space can be approximated by the average Betti numbers of a regular exhaustion, proving a conjecture in [DM]. We also prove… (More)

- Józef Dodziuk, Peter Linnell, Varghese Mathai, Thomas Schick, Stuart Yates
- 2001

Let G be a torsion free discrete group and let Q denote the field of algebraic numbers in C. We prove that QG fulfills the Atiyah conjecture if G lies in a certain class of groups D, which contains… (More)

- Peter Bouwknegt, Jarah Evslin, Varghese Mathai
- Physical review letters
- 2004

We present a general formula for the topology and H-flux of the T-dual of a type II compactification. Our results apply to T-dualities with respect to any free circle action. In particular, we find… (More)

In this paper, we initiate the study of C *-algebras A endowed with a twisted action of a locally compact Abelian Lie group G, and we construct a twisted crossed product A⋊G, which is in general a… (More)

- Varghese Mathai
- 2005

We use noncommutative topology to study T-duality for principal torus bundles with H-flux. We characterize precisely when there is a “classical” T-dual, i.e., a dual bundle with dual H-flux, and when… (More)

The central result of this paper is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifolds X as… (More)

- Józef Dodziuk, Peter Linnell, Varghese Mathai, Thomas Schick, Stuart Yates
- 2002

Let G be a torsion free discrete group and let Q denote the field of algebraic numbers in C. We prove that QG fulfills the Atiyah conjecture if G lies in a certain class of groups D, which contains… (More)

In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids… (More)

- JOZEF DODZIUK, Varghese Mathai
- 1996

In this paper, we prove that the L 2 Betti numbers of an amenable covering space can be approximated by the average Betti numbers of a regular exhaustion, under some hypotheses. We also prove that… (More)