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Spectral flow and Dixmier traces

Carey, Alan; Phillips, John; Sukochev, Fedor A

Description

We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the heat operator in a general semi-finite von Neumann algebra. Our results have several applications. We deduce a formula for the Chern character of an odd ℒ(1,∞)-summable Breuer-Fredholm module in terms of a Hochschild 1-cycle. We explain how to derive a Wodzicki residue for pseudo-differential operators along the orbits of an ergodic Rn action on a compact...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
URI: http://hdl.handle.net/1885/76484
Source: Advances in Mathematics
DOI: 10.1016/S0001-8708(02)00015-4

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