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Transformation Groups and Algebraic K-Theory (1989)

Transformation Groups and Algebraic K-Theory

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"Transformation Groups and Algebraic K-Theory" by Wolfgang Lück is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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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Best For: Researchers and students interested in the intersection of topology and algebraic K-theory
Focus: The relationship between transformation groups and algebraic K-theory, including the assignment of algebraic K-group invariants to geometric problems
Covers: Theory of transformation groups, algebraic K-theory of modules over a category, and applications to the fundamental category of G-space
Why It Matters: It provides a detailed study of algebraic K-theory applied to transformation groups and compiles foundational details of transformation group theory that are not easily found elsewhere

"Transformation Groups and Algebraic K-Theory" by Wolfgang Lück is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Wolfgang Lück

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorWolfgang Lück
PublisherMathematica Gottingensis
Published1989-11-28
ISBN-139783540518464
BindingPaperback
Pages468
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesMathematica Gottingensis

Format: Paperback

Length: 468 pages

Language: English

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