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C*-algebras and Elliptic Theory

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

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Bogdan Bojarski, Andrzej Weber
    Pages 1-21
  3. Jacek Brodzki, Graham A. Niblo
    Pages 23-35
  4. Alain Connes, Thierry Fack
    Pages 61-72
  5. Vladimir Manuilov, Klaus Thomsen
    Pages 151-156
  6. Vladimir Nazaikinskii, Boris Sternin
    Pages 157-186
  7. Fabio Nicola, Luigi Rodino
    Pages 187-202
  8. I. M. Nikonov, G. I. Sharygin
    Pages 203-212
  9. Victor Nistor, Evgenij Troitsky
    Pages 213-245

About this book

Introduction

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

 

Keywords

Dirac operator Invariant K-theory Manifold Morphism Morse theory Schrödinger operator Topology algebra algebraic topology asymptotic geometry index theory singularity theorem

Editors and affiliations

  • Bogdan Bojarski
    • 1
  • Alexander S. Mishchenko
    • 2
  • Evgenij V. Troitsky
    • 2
  • Andrzej Weber
    • 3
  1. 1.Institute of MathematicsPolish Academy of SciencesWarszawaPoland
  2. 2.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  3. 3.Instytut MatematykiUniwersytet WarszawskiWarszawaPoland

Bibliographic information

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