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Inequalities for the Novikov-Shubin invariants

Author(s): Varghese Mathai
Journal: Proc. Amer. Math. Soc. 124 (1996), 2585-2588.
MSC (1991): Primary 58G11, 58G18, 58G25
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Abstract: In this paper, we prove that the Novikov-Shubin invariants satisfy a sequence of inequalities and deduce some useful consequences of this result.

References:

1.
M. Atiyah, Elliptic operators, discrete groups and Von Neumann algebras, Asterisque no. 32-33 (1976) 43-72. MR 54:8741

2.
A. Carey, and V. Mathai, $L^{2}$ torsion invariants, Journal of Functional Analysis 110 no.2 (1992) 377-409. MR 94a:58211

3.
A.V. Efremov, Cell decompositions and the Novikov-Shubin invariants, Russ. Math. Surv. 46 (1991) 219-220. MR 92m:58143

4.
D.V. Efremov, M. Shubin, Spectrum distribution function and variational principle for automorphic operators on hyperbolic space, Séminare Equations aux Dérivées Partielles, Ecole Polytechnique, Palaiseau, Centre de Mathématiques, Exposé VII, 1988-89. MR 91b:58258

5.
M. Gromov and M. Shubin, Von Neumann spectra near zero, Geom.Func.Anal. 1 (1991) 375-404. MR 92i:58184

6.
J. Lott, Heat kernels on covering spaces and topological invariants, Jour. Diff. Geom. 35 (1992) 471-510. MR 93b:58140

7.
J. Lott and W. Lück, $L^{2}$ topological invariants of 3-manifolds, (to appear in Inven. Math.).

8.
W. Lück and M. Rothenberg, Reidemeister torsion and the K-theory of von Neumann algebras, K-Theory 5 (1991) 213-264. MR 93g:57025

9.
V. Mathai, $L^{2}$ - Analytic Torsion, Journal of Functional Analysis 107 (1992) 369-386. MR 93g:58156

10.
V. Mathai, $L^2$ analytic torsion and locally symmetric spaces, preprint 1991.

11.
V. Mathai and S. Weinberger, Shifted $L^2$ Invariants and Amenable manifolds, preprint 1994.

12.
J. Roe, Elliptic operators, topology and asymptotic methods, Pitman research notes in mathematics 179, Longman, 1988. MR 89j:58126

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Additional Information:

Varghese Mathai
Affiliation: Department of Pure Mathematics, University of Adelaide, Adelaide, South Australia, Australia
Email: vmathai@spam.maths.adelaide.edu.au

DOI: 10.1090/S0002-9939-96-03406-5
PII: S 0002-9939(96)03406-5
Keywords: Heat kernels, Novikov-Shubin invariants, positive decay
Received by editor(s): February 15, 1995
Communicated by: Peter Li
Copyright of article: Copyright 1996, American Mathematical Society

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