Trace formulas
著者
書誌事項
Trace formulas
(De Gruyter studies in mathematics, v. 46/2 . Singular traces ; v. 2)
De Gruyter, c2023
2nd ed
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注記
Other authors: Edward McDonald, Fedor Sukochev, Dmitriy Zanin
Includes bibliographical references (p. [457]-468) and index
内容説明・目次
内容説明
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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