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Topics in Algebraic and Topological K-Theory

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

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

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Paul F. Baum, Rubén J. Sánchez-García
    Pages 1-43
  3. Guillermo Cortiñas
    Pages 103-165
  4. Toën Bertrand
    Pages 243-302
  5. Back Matter
    Pages 303-308

About this book

Introduction

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.

Keywords

19-XX Algebraic K-theory Baum-Connes conjecture DG-categories Topological K-theory Triangulated categories

Authors and affiliations

  • Paul Frank Baum
    • 1
  • Guillermo Cortiñas
    • 2
  • Ralf Meyer
    • 3
  • Rubén Sánchez-García
    • 4
  • Marco Schlichting
    • 5
  • Bertrand Toën
    • 6
  1. 1.Mathematics DepartmentThe Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Facultad de Ciencias Exactas y Naturales, Mathematics DepartmentUniversidad de Buenos AiresCiudad Autónoma de Buenos AiresArgentina
  3. 3.Mathematisches InstitutUniversität GöttingenGöttingenGermany
  4. 4.Mathematisches InstitutHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany
  5. 5.Mathematics InstituteUniversity of WarwickCoventryUnited Kingdom
  6. 6.Institut de Mathématiques et de ModélisaUniversité Montpellier IIMontpellierFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15708-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-15707-3
  • Online ISBN 978-3-642-15708-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site