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Transformation Groups and Algebraic K-Theory

  • Book
  • © 1989

Overview

Authors:
  1. Wolfgang Lück
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1408)

Part of the book sub series: Mathematica Gottingensis (2766)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-XII
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  2. Geometrically defined invariants

    • Wolfgang Lück
    Pages 1-155

  3. Algebraically defined invariants

    • Wolfgang Lück
    Pages 156-304

  4. RΓ-modules and geometry

    • Wolfgang Lück
    Pages 305-412

  5. Back Matter

    Pages 413-443
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Transformation Groups and Algebraic K-Theory

  • Authors: Wolfgang Lück

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083681

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51846-4Published: 28 November 1989

  • eBook ISBN: 978-3-540-46827-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 454

  • Topics: Algebraic Topology

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