Noncommutative Localization In Algebra And Topology
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Noncommutative Localization in Algebra and Topology
Author: Andrew Ranicki
language: en
Publisher: Cambridge University Press
Release Date: 2006-02-09
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.
Non-Commutative Localization in Algebra and Topology
Author: Department of Mathematics and Statistics Andrew Ranicki
language: en
Publisher:
Release Date: 2014-05-14
An introduction to noncommutative localization and an account of the state of the art suitable for researchers and graduate students.
Topics in Algebraic and Topological K-Theory
Author: Paul Frank Baum
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-11-05
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.