Spectral flow and Dixmier traces
| dc.creator | Carey, Alan L | |
| dc.creator | Phillips, John | |
| dc.creator | Sukochev, Fyodor | |
| dc.date | 2002-05-08 | |
| dc.date.accessioned | 2026-07-07T04:48:20Z | |
| dc.date.available | 2026-07-07T04:48:20Z | |
| dc.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 ${\mathcal L}^{(1,\infty)}$-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 $\IR^n$ action on a compact space $X$. Finally we give a short proof an index theorem of Lesch for generalised Toeplitz operators. | |
| dc.identifier | https://arxiv.org/abs/math/0205076 | |
| dc.identifier | http://arxiv.org/abs/math/0205076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64007 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19K56,46L80 | |
| dc.title | Spectral flow and Dixmier traces | |
| dc.type | text |