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An Algebraic Introduction to K-Theory
Language: en
Pages: 704
Authors: Bruce A. Magurn
Categories: Mathematics
Type: BOOK - Published: 2002-05-20 - Publisher: Cambridge University Press

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This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal idea
The $K$-book
Language: en
Pages: 634
Authors: Charles A. Weibel
Categories: Mathematics
Type: BOOK - Published: 2013-06-13 - Publisher: American Mathematical Soc.

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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 vec
An Introduction to K-Theory for C*-Algebras
Language: en
Pages: 260
Authors: M. Rørdam
Categories: Mathematics
Type: BOOK - Published: 2000-07-20 - Publisher: Cambridge University Press

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This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
Introduction to Algebraic K-theory
Language: en
Pages: 204
Authors: John Willard Milnor
Categories: Mathematics
Type: BOOK - Published: 1971 - Publisher: Princeton University Press

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Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or
Algebraic K-Theory and Its Applications
Language: en
Pages: 404
Authors: Jonathan Rosenberg
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This t