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Algebraic K-Theory and Its Applications

  • Jonathan Rosenberg

Part of the Graduate Texts in Mathematics book series (GTM, volume 147)

Table of contents

  1. Front Matter
    Pages i-x
  2. Jonathan Rosenberg
    Pages 1-58
  3. Jonathan Rosenberg
    Pages 59-107
  4. Jonathan Rosenberg
    Pages 108-161
  5. Jonathan Rosenberg
    Pages 162-244
  6. Jonathan Rosenberg
    Pages 245-301
  7. Jonathan Rosenberg
    Pages 302-368
  8. Back Matter
    Pages 369-394

About this book

Introduction

Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.

Keywords

Algebraic K-theory Homological algebra K-theory algebra theory of fields

Authors and affiliations

  • Jonathan Rosenberg
    • 1
  1. 1.Department of MathematicsUniversity of MarylandCollege parkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4314-4
  • Copyright Information Springer-Verlag New York 1994
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8735-3
  • Online ISBN 978-1-4612-4314-4
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site