Carey, Alan; Phillips, John; Sukochev, Fedor A
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]
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.