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.
By:
Steven Lord, Edward McDonald, Fedor Sukochev, Dmitriy Zanin Imprint: De Gruyter Country of Publication: Germany Edition: 2nd corr. and exten. edition Dimensions:
Height: 240mm,
Width: 170mm,
Weight: 965g ISBN:9783110700008 ISBN 10: 311070000X Series:De Gruyter Studies in Mathematics Pages: 514 Publication Date:03 April 2023 Audience:
Professional and scholarly
,
Undergraduate
Format:Hardback Publisher's Status: Active
Steven Lord, U of Adelaide, Australia; Fedor Sukochev, Dmitriy Zanin and Edward McDonald, U of New South Wales, Australia.