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Transformation Groups and Algebraic K-Theory

  • Authors
  • Wolfgang Lück

Part of the Lecture Notes in Mathematics book series (LNM, volume 1408)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Wolfgang Lück
    Pages 1-155
  3. Wolfgang Lück
    Pages 156-304
  4. Wolfgang Lück
    Pages 305-412
  5. Back Matter
    Pages 413-443

About this book

Introduction

The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.

Keywords

K-theory Transformationsgruppen algebra algebraic topology algebraische K-Theorie algebraische Topologie transformation group

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0083681
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51846-4
  • Online ISBN 978-3-540-46827-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site