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" C*-algebras and elliptic operators in differential topology / "
Yu. P. Solovyov, E.V. Troitsky ; translated by E.V. Troitsky.
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BL
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| Record Number
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598999
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| Doc. No
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b428218
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| Uniform Title
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S*-algebry i ėllipticheskie operatory v different͡sialʹnoĭ topologii.English
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| Main Entry
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Solovʹëv, I͡U. P., (I͡Uriĭ Petrovich)
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| Title & Author
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C*-algebras and elliptic operators in differential topology /\ Yu. P. Solovyov, E.V. Troitsky ; translated by E.V. Troitsky.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2001.
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| Series Statement
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Translations of mathematical monographs,; v. 192
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| Page. NO
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x, 213 p. :: ill. ;; 26 cm.
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| ISBN
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0821813994
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: 9780821813997
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| Bibliographies/Indexes
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Includes bibliographical references (p. 205-210) and index.
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| Contents
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C*-Algebras and K-Theory -- Some facts from homological algebra -- C*-Hilbert modules -- K-Theory of C*-bundles -- Foundations of KK-theory -- Index Theorems -- Pseudodifferential operators -- The C*-index theorem -- The Atiyah-Singer theorem -- The Higher Signatures -- Characteristic classes -- Higher signatures of manifolds -- Hermitian K-theory and Fredholm representations -- Generalized Hirzebruch formulas -- Mishchenko's theorem -- Bruhat-Tits buildings and higher signatures -- Higher signatures and KK-theory -- Spinor manifolds, curvature and A-bundles -- Noncommutative Differential Geometry -- Cyclic and dihedral homology -- Chern character, index, and Lefschetz numbers -- The Connes-Moscovici theorem.
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| Subject
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Topological algebras.
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| LC Classification
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QA326.S61513 2001
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| Added Entry
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Troit͡skiĭ, E. V., (Evgeniĭ Vadimovich)
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