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Transformation Groups and Algebraic K-Theory

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 277/5 ( reviews)

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Book Synopsis Transformation Groups and Algebraic K-Theory by : Wolfgang Lück

Download or read book Transformation Groups and Algebraic K-Theory written by Wolfgang Lück. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic K-Theory

2013-11-21 Science
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Release : 2013-11-21
Genre : Science
Kind : eBook
Book Rating : 354/5 ( reviews)

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Book Synopsis Algebraic K-Theory by : Vasudevan Srinivas

Download or read book Algebraic K-Theory written by Vasudevan Srinivas. This book was released on 2013-11-21. Available in PDF, EPUB and Kindle. Book excerpt:

The $K$-book

2013-06-13 Mathematics
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Release : 2013-06-13
Genre : Mathematics
Kind : eBook
Book Rating : 324/5 ( reviews)

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Book Synopsis The $K$-book by : Charles A. Weibel

Download or read book The $K$-book written by Charles A. Weibel. This book was released on 2013-06-13. Available in PDF, EPUB and Kindle. Book excerpt: Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr

Algebraic K-Theory and Its Applications

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 149/5 ( reviews)

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Book Synopsis Algebraic K-Theory and Its Applications by : Jonathan Rosenberg

Download or read book Algebraic K-Theory and Its Applications written by Jonathan Rosenberg. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.

Algebraic K-Theory

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 695/5 ( reviews)

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Book Synopsis Algebraic K-Theory by : Hvedri Inassaridze

Download or read book Algebraic K-Theory written by Hvedri Inassaridze. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory. Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. It includes all principal algebraic K-theories, connections with topological K-theory and cyclic homology, applications to the theory of monoid and polynomial algebras and in the theory of normed algebras. This volume will be of interest to graduate students and research mathematicians who want to learn more about K-theory.

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