MARC Record from harvard_bibliographic_metadata

LEADER: 02488nam a22003617a 4500
001 011742631-8
005 20140910154325.0
008 080311s2008 sz a b 001 0 eng d
010 $a 2008924711
020 $a3764387742
020 $a9783764387747
035 0 $aocn213479423
040 $aYDXCP$cYDXCP$dBTCTA$dBAKER$dOHX$dORZ$dDLC
042 $alccopycat
050 00 $aQA329.42$b.N396 2008
100 1 $aNazaĭkinskiĭ, V. E.
245 10 $aElliptic theory and noncommutative geometry :$bnonlocal elliptic operators /$cVladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin.
260 $aBasel ;$aBoston :$bBirkhäuser,$cc2008
300 $axii, 224 p. :$bill. ;$c24 cm.
490 1 $aOperator theory, advances and applications ;$vv. 183.$aAdvances in partial differential equations
504 $aIncludes bibliographical references (p. [217]-221) and index.
520 1 $a"The book deals with nonlocal elliptic differential operators, whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. To make the book self-contained, the authors have included necessary geometric material (C[superscript*]-algebras and their K-theory, cyclic homology, etc.)."--Jacket.
505 0 $aAnalysis of Nonlocal Elliptic Operators -- Nonlocal Functions and Bundles -- Nonlocal Elliptic Operators -- Elliptic Operators over C*-Algebras -- Homotopy Invariants of Nonlocal Elliptic Operators -- Homotopy Classification -- Analytic Invariants -- Bott Periodicity -- Direct Image and Index Formulas in K-Theory -- Chern Character -- Cohomological Index Formula -- Cohomological Formula for the ?-Index -- Index of Nonlocal Operators over C*-Algebras -- Examples -- Index Formula on the Noncommutative Torus -- An Application of Higher Traces -- Index Formula for a Finite Group ?.
650 0 $aElliptic operators.
650 0 $aNoncommutative differential geometry.
650 0 $aMathematics.
650 0 $aOperator theory.
700 1 $aSavin, Anton Yu.
700 1 $aSternin, B. I͡U.
830 0 $aOperator theory, advances and applications ;$vv. 183.
830 0 $aOperator theory, advances and applications.$pAdvances in partial differential equations.
988 $a20081114
906 $0OCLC