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.

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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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Table of contents (3 chapters)

Front Matter

Geometrically defined invariants

Algebraically defined invariants

RΓ-modules and geometry

Back Matter

About this book