Neuware - 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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Bibliographic Details

Title: Singular Traces Trace Formulas
Publisher: De Gruyter
Publication Date: 2023
Language: English
ISBN 10: 311070000X
ISBN 13: 9783110700008
Binding: Buch
Edition: 2nd Edition
Condition: Neu
Dimensions: 96 millimeters width by 72 millimeters height by 13 millimeters depth
Weight: 965 grams

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Synopsis

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 McDonald, U of New South Wales, Australia.

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