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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.
Nákup knihy
Singular traces, Steven Lord
- Jazyk
- Rok vydání
- 2023
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Doručení
Platební metody
Navrhnout úpravu
- Titul
- Singular traces
- Jazyk
- anglicky
- Autoři
- Steven Lord
- Vydavatel
- De Gruyter
- Rok vydání
- 2023
- Vazba
- pevná
- ISBN10
- 311070000X
- ISBN13
- 9783110700008
- Kategorie
- Matematika
- Anotace
- 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.