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A01=Dmitriy Zanin
A01=Edward McDonald
A01=Fedor Sukochev
A01=Steven Lord
Author_Dmitriy Zanin
Author_Edward McDonald
Author_Fedor Sukochev
Author_Steven Lord
Category=PB
Category=PBK
Category=PBKS
Diximier Trace
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Product details

  • ISBN 9783110700008
  • Weight: 965g
  • Dimensions: 170 x 240mm
  • Publication Date: 03 Apr 2023
  • Publisher: De Gruyter
  • Publication City/Country: DE
  • Product Form: Hardback
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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.

Steven Lord, U of Adelaide, Australia; Fedor Sukochev, Dmitriy Zanin and Edward McDonald, U of New South Wales, Australia.

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