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.
About the author
Steven Lord, U of Adelaide, Australia;
Fedor Sukochev,
Dmitriy Zanin and
Edward Mc Donald, U of New South Wales, Australia.
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Language English ● Format EPUB ● Pages 514 ● ISBN 9783110700244 ● File size 73.2 MB ● Publisher De Gruyter ● City Berlin/Boston ● Published 2023 ● Edition 1 ● Downloadable 24 months ● Currency EUR ● ID 8849649 ● Copy protection Adobe DRM
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