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Birkhäuser

C*-algebras and Elliptic Theory

  • Book
  • © 2006

Overview

Editors:
  1. Bogdan Bojarski

    1. Institute of Mathematics, Polish Academy of Sciences, Warszawa, Poland

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  2. Alexander S. Mishchenko

    1. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

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  3. Evgenij V. Troitsky

    1. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

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  4. Andrzej Weber

    1. Instytut Matematyki, Uniwersytet Warszawski, Warszawa, Poland

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  • Contributions by leading specialists, in particular, Fields medalist Alain Connes
  • Reasonable balance between research and expository papers
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Correspondences and Index

    • Bogdan Bojarski, Andrzej Weber
    Pages 1-21

  3. Approximation Properties for Discrete Groups

    • Jacek Brodzki, Graham A. Niblo
    Pages 23-35

  4. A Riemannian Invariant, Euler Structures and Some Topological Applications

    • Dan Burghelea, Stefan Haller
    Pages 37-60

  5. Morse Inequalities for Foliations

    • Alain Connes, Thierry Fack
    Pages 61-72

  6. Index Theory for Generalized Dirac Operators on Open Manifolds

    • Jürgen Eichhorn
    Pages 73-128

  7. Semiclassical Asymptotics and Spectral Gaps for Periodic Magnetic Schrödinger Operators on Covering Manifolds

    • Yuri A. Kordyukov
    Pages 129-150

  8. The Group of Unital C*-extensions

    • Vladimir Manuilov, Klaus Thomsen
    Pages 151-156

  9. Lefschetz Theory on Manifolds with Singularities

    • Vladimir Nazaikinskii, Boris Sternin
    Pages 157-186

  10. Residues and Index for Bisingular Operators

    • Fabio Nicola, Luigi Rodino
    Pages 187-202

  11. On the Hopf-type Cyclic Cohomology with Coefficients

    • I. M. Nikonov, G. I. Sharygin
    Pages 203-212

  12. The Thom Isomorphism in Gauge-equivariant K-theory

    • Victor Nistor, Evgenij Troitsky
    Pages 213-245

  13. Pseudodifferential Subspaces and Their Applications in Elliptic Theory

    • Anton Savin, Boris Sternin
    Pages 247-289

  14. New L 2-invariants of Chain Complexes and Applications

    • Vladimir V. Sharko
    Pages 291-312

  15. Bundles of C*-algebras and the KK(X;−,−)-bifunctor

    • Ezio Vasselli
    Pages 313-327
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Keywords

About this book

This volume contains the proceedings of the conference on "C*-algebras and Elliptic Theory" held in Bedlewo, Poland, in February 2004. It consists of original research papers and expository articles focussing on index theory and topology of manifolds.

The collection offers a cross-section of significant recent advances in several fields, the main subject being K-theory (of C*-algebras, equivariant K-theory). A number of papers is related to the index theory of pseudodifferential operators on singular manifolds (with boundaries, corners) or open manifolds. Further topics are Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others. The wide spectrum of subjects reflects the diverse directions of research emanating from the Atiyah-Singer index theorem.

Contributors:

B. Bojarski, J. Brodzki, D. Burghelea, A. Connes, J. Eichhorn, T. Fack, S. Haller, Yu.A. Kordyukov, V. Manuilov, V. Nazaikinskii, G.A. Niblo, F. Nicola, I.M. Nikonov, V. Nistor, L. Rodino, A. Savin, V.V. Sharko, G.I. Sharygin, B. Sternin, K. Thomsen, E.V. Troitsky, E. Vasseli, A. Weber

 

Editors and Affiliations

  • Institute of Mathematics, Polish Academy of Sciences, Warszawa, Poland

    Bogdan Bojarski

  • Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

    Alexander S. Mishchenko, Evgenij V. Troitsky

  • Instytut Matematyki, Uniwersytet Warszawski, Warszawa, Poland

    Andrzej Weber

Bibliographic Information

  • Book Title: C*-algebras and Elliptic Theory

  • Editors: Bogdan Bojarski, Alexander S. Mishchenko, Evgenij V. Troitsky, Andrzej Weber

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-7643-7687-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2006

  • Hardcover ISBN: 978-3-7643-7686-4Published: 16 August 2006

  • eBook ISBN: 978-3-7643-7687-1Published: 09 November 2006

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: IX, 327

  • Topics: Functional Analysis

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