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.
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Circa l’autore
Steven Lord, U of Adelaide, Australia;
Fedor Sukochev,
Dmitriy Zanin and
Edward Mc Donald, U of New South Wales, Australia.
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Lingua Inglese ● Formato EPUB ● Pagine 514 ● ISBN 9783110700244 ● Dimensione 73.2 MB ● Casa editrice De Gruyter ● Città Berlin/Boston ● Pubblicato 2023 ● Edizione 1 ● Scaricabile 24 mesi ● Moneta EUR ● ID 8849649 ● Protezione dalla copia Adobe DRM
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