Transformation Groups and Algebraic K-Theory [electronic resource] / by Wolfgang Lück.

By:

Lück, Wolfgang [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Mathematica Gottingensis ; 1408Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989Description: XIV, 454 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540468271

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

514.2 23

LOC classification:

QA612-612.8

Online resources:

Click here to access online

Contents:

Geometrically defined invariants -- Algebraically defined invariants -- R?-modules and geometry.

In: Springer eBooksSummary: 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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Geometrically defined invariants -- Algebraically defined invariants -- R?-modules and geometry.

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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