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$l^2$-invariants

Proceedings of the London Mathematical Society (1)

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1 results

Regularized and L2-determinants
A Deitmar
Journal:

Proceedings of the London Mathematical Society / Volume 76 / Issue 1 / January 1998

Published online by Cambridge University Press:

01 January 1998, pp. 150-174

Print publication:

January 1998
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A notion of $L^2$-determinant is established generalizing $L^2$-torsion. It is shown that classical regularized determinants of elliptic operators converge to $L^2$-determinants in a tower of coverings. A product formula is proved, which provides an Euler-product expansion to regularized determinants, having generalized $L^2$-determinants as Euler-factors.
1991 Mathematics Subject Classification: 58G26, 58F20.