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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.
Price: $230.00
Pages: 514
Publisher: De Gruyter
Imprint: De Gruyter
Publication Date:
03 April 2023
ISBN: 9783110700008
Format: Hardcover
BISACs:
MAT000000 MATHEMATICS / General, MAT041000 MATHEMATICS / Numerical Analysis
Steven Lord, U of Adelaide, Australia; Fedor Sukochev, Dmitriy Zanin and Edward McDonald, U of New South Wales, Australia.