De Gruyter Studies in Mathematics. Trace Formulas

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 stud...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser:
Lord, Steven, McDonald, Edward, Sukochev, Fedor, Zanin, Dmitriy
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Berlin ; Boston De Gruyter [2023]
Ausgabe:
2nd corr. and exten. edition
Zusammenfassung:
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
Umfang:
1 online resource (XL, 474 p.)
Anmerkungen:
Issued also in print
Schriftenreihe:
De Gruyter Studies in Mathematics
ISBN:
9783110700176
DOI:
10.1515/9783110700176
Zugangseinschränkungen:
restricted access
Schlagworte:
Diximier Trace
Hilbertraum
Pseudodifferentialoperator
Singular Trace
MATHEMATICS / Mathematical Analysis
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