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Dixmier traces and some applications in non-commutative geometry. (English. Russian original) Zbl 1151.46053
Russ. Math. Surv. 61, No. 6, 1039-1099 (2006); translation from Usp. Mat. Nauk 61, No. 6, 45-110 (2006).

MSC:
46L85 Noncommutative topology
58B34 Noncommutative geometry (à la Connes)
46L10 General theory of von Neumann algebras
58J30 Spectral flows
58J42 Noncommutative global analysis, noncommutative residues
47L20 Operator ideals
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
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