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C*-algebras and Elliptic Theory II

  • Book
  • © 2008

Overview

Editors:
  1. Dan Burghelea

    1. Department of Mathematics, Ohio State University, Columbus, USA

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  2. Richard Melrose

    1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

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  3. Alexander S. Mishchenko

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

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  4. Evgenij V. Troitsky

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

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  • Contributions by leading specialists in the field
  • Reasonable balance between research, expository and mixed papers
  • Presentation of several principal research directions in the field
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Lefschetz Distribution of Lie Foliations

    • Jesús A. Álvarez López, Yuri A. Kordyukov
    Pages 1-40

  3. Torsion, as a Function on the Space of Representations

    • Dan Burghelea, Stefan Haller
    Pages 41-66

  4. The K-theory of Twisted Group Algebras

    • Siegfried Echterhoff
    Pages 67-86

  5. Twisted Burnside Theorem for Two-step Torsion-free Nilpotent Groups

    • Alexander Fel’shtyn, Fedor Indukaev, Evgenij Troitsky
    Pages 87-101

  6. Ihara Zeta Functions for Periodic Simple Graphs

    • Daniele Guido, Tommaso Isola, Michel L. Lapidus
    Pages 103-121

  7. Adiabatic Limits and the Spectrum of the Laplacian on Foliated Manifolds

    • Yuri A. Kordyukov, Andrey A. Yakovlev
    Pages 123-144

  8. On the Non-standard Podleś Spheres

    • Ulrich Krähmer
    Pages 145-147

  9. Boundaries, Eta Invariant and the Determinant Bundle

    • Richard Melrose, Frédéric Rochon
    Pages 149-181

  10. Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators

    • Vladimir Nazaikinskii, Anton Savin, Boris Sternin
    Pages 183-206

  11. Elliptic Theory on Manifolds with Corners: II. Homotopy Classification and K-Homology

    • Vladimir Nazaikinskii, Anton Savin, Boris Sternin
    Pages 207-226

  12. Dixmier Traceability for General Pseudo-differential Operators

    • Fabio Nicola, Luigi Rodino
    Pages 227-237

  13. Topological Invariants of Bifurcation

    • Jacobo Pejsachowicz
    Pages 239-250

  14. Modified Hochschild and Periodic Cyclic Homology

    • Nicolae Teleman
    Pages 251-265

  15. L 2-invariants and Rank Metric

    • Andreas Thom
    Pages 267-280

  16. Group Bundle Duality, Invariants for Certain C*-algebras, and Twisted Equivariant K-theory

    • Ezio Vasselli
    Pages 281-295

  17. A New Topology on the Space of Unbounded Selfadjoint Operators, K-theory and Spectral Flow

    • Charlotte Wahl
    Pages 297-309
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Keywords

Editors and Affiliations

  • Department of Mathematics, Ohio State University, Columbus, USA

    Dan Burghelea

  • Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    Richard Melrose

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

    Alexander S. Mishchenko, Evgenij V. Troitsky

Bibliographic Information

  • Book Title: C*-algebras and Elliptic Theory II

  • Editors: Dan Burghelea, Richard Melrose, Alexander S. Mishchenko, Evgenij V. Troitsky

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-7643-8604-7

  • Publisher: Birkhäuser Basel

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

  • Copyright Information: Birkhäuser Basel 2008

  • Hardcover ISBN: 978-3-7643-8603-0Published: 18 February 2008

  • eBook ISBN: 978-3-7643-8604-7Published: 18 March 2008

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: IX, 309

  • Topics: Algebra, Functional Analysis

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