Trace Formulas

by Steven Lord, Edward McDonald, Fedor Sukochev, Dmitriy Zanin

Overview

This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character.

Product Details

ISBN-13:	9783110700008
Publisher:	De Gruyter
Publication date:	04/03/2023
Series:	De Gruyter Studies in Mathematics , #46
Edition description:	2nd corr. and exten. edition
Pages:	514
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

About the Author

Steven Lord, U of Adelaide, Australia; Fedor Sukochev, Dmitriy Zanin and Edward McDonald, U of New South Wales, Australia.