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Topics in Algebraic and Topological K-Theory

  • Book
  • © 2011

Overview

Authors:
  1. Paul Frank Baum

    1. Mathematics Department, The Pennsylvania State University, University Park, USA

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  2. Guillermo Cortiñas

    1. Facultad de Ciencias Exactas y Naturales, Mathematics Department, Universidad de Buenos Aires, Ciudad Autónoma de Buenos Aires, Argentina

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  3. Ralf Meyer

    1. Mathematisches Institut, Universität Göttingen, Göttingen, Germany

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  4. Rubén Sánchez-García

    1. Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany

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  5. Marco Schlichting

    1. Mathematics Institute, University of Warwick, Coventry, United Kingdom

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  6. Bertrand Toën

    1. Institut de Mathématiques et de Modélisa, Université Montpellier II, Montpellier, France

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  • The approach is elementary and accessible to beginners in the subject.
  • Helps get readers acquainted with the necessary material to begin working in major research problems of current interest.

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2008)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
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  2. K-Theory for Group C∗-algebras

    • Paul F. Baum, Rubén J. Sánchez-García
    Pages 1-43

  3. Universal Coefficient Theorems and Assembly Maps in KK-Theory

    • Ralf Meyer
    Pages 45-102

  4. Algebraic v. Topological K-Theory: A Friendly Match

    • Guillermo Cortiñas
    Pages 103-165

  5. Higher Algebraic K-Theory (After Quillen, Thomason and Others)

    • Marco Schlichting
    Pages 167-241

  6. Lectures on DG-Categories

    • Toën Bertrand
    Pages 243-302

  7. Back Matter

    Pages 303-308
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Keywords

About this book

This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.

Authors and Affiliations

  • Mathematics Department, The Pennsylvania State University, University Park, USA

    Paul Frank Baum

  • Facultad de Ciencias Exactas y Naturales, Mathematics Department, Universidad de Buenos Aires, Ciudad Autónoma de Buenos Aires, Argentina

    Guillermo Cortiñas

  • Mathematisches Institut, Universität Göttingen, Göttingen, Germany

    Ralf Meyer

  • Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany

    Rubén Sánchez-García

  • Mathematics Institute, University of Warwick, Coventry, United Kingdom

    Marco Schlichting

  • Institut de Mathématiques et de Modélisa, Université Montpellier II, Montpellier, France

    Bertrand Toën

Bibliographic Information

  • Book Title: Topics in Algebraic and Topological K-Theory

  • Authors: Paul Frank Baum, Guillermo Cortiñas, Ralf Meyer, Rubén Sánchez-García, Marco Schlichting, Bertrand Toën

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-15708-0

  • Publisher: Springer Berlin, Heidelberg

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

  • Copyright Information: Springer-Verlag GmbH Berlin Heidelberg 2011

  • Softcover ISBN: 978-3-642-15707-3Published: 05 November 2010

  • eBook ISBN: 978-3-642-15708-0Published: 28 October 2010

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVI, 308

  • Number of Illustrations: 2 b/w illustrations

  • Topics: K-Theory

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