Cohomology of groups and algebraic k-theory /

Cohomology of groups and algebraic k-theory /

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Bibliographic Details
Imprint:	Sommerville, MA : International Press ; Beijing, China : Higher Education Press, c2010
Description:	ii, 517 p. : ill. ; 26 cm.
Language:	English
Series:	Advanced lectures in mathematics ; v xii Advanced lectures in mathematics.
Subject:	K-theory. Group theory. Cohomology operations. Cohomology operations. Group theory. K-theory.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8068719

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Other authors / contributors:	Ji, Lizhen, 1964- Liu, Kefeng, 1965- Yau, Shing-Tung, 1949-
ISBN:	1571461442 9781571461445
Notes:	Includes bibliographical references.
Summary:	Published jointly by International Press and by Higher Education Press of China, the Advanced Lectures in Mathematics (ALM) series brings the latest mathematical developments worldwide to both researchers and students. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. The ALM series emphasizes discussion of the history and significance of each topic discussed, with an overview of the current status of research, and presentation of the newest cutting-edge results. Cohomology of Groups and Algebraic K-theory. Cohomology of groups is a fundamental tool in many subjects of modern mathematics. One important generalized cohomology theory is the algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology, number theory, etc. This volume consists of expanded lecture notes from a 2007 seminar at Zhejiang University in China, at which several leading experts presented introductions, to and surveys of, many aspects of cohomology of groups and algebraic K-theory, along with their broad applications. Two foundational papers on algebraic K-theory by Daniel Quillen are also included. --Book Jacket.

Description
Summary:	Cohomology of groups is a fundamental tool in many subjects of modern mathematics. One important generalized cohomology theory is the algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology, number theory, etc. This volume consists of expanded lecture notes from a 2007 seminar at Zhejiang University in China, at which several leading experts presented introductions, to and surveys of, many aspects of cohomology of groups and algebraic K-theory, along with their broad applications. Two foundational papers on algebraic K-theory by Daniel Quillen are also included. Table of Contents: On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory - Arthur Bartels and Wolfgang Lück; Deformation Spaces for Affine Crystallographic Groups - Oliver Baues; Lectures on the Cohomology of Groups - Kenneth S. Brown; A Brief Introduction to Algebraic K-Theory - Daniel R. Grayson; The Braid Groups of RP2 Satisfy the Fibered Isomorphism Conjecture - Daniel Juan-Pineda and Silvia Millan-López; K-Theory, an Elementary Introduction - Max Karoubi ; Lectures on K-Theory - Max Karoubi; On the Farrell-Jones and Related Conjectures - Wolfgang Lück; Introduction to Controlled Topology and its Applications - Stratos Prassidis; Lecture Notes on K-Theory - Hourong Qin; Higher Algebraic K-Theory: I - Daniel Quillen; Finite Generation of the Groups Ki of Rings of Algebraic Integers - Daniel Quillen; A User's Guide to Continuously Controlled Algebra - David Rosenthal; Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups - Christophe Soulé (Notes by Marco Varisco).
Physical Description:	ii, 517 p. : ill. ; 26 cm.
Bibliography:	Includes bibliographical references.
ISBN:	1571461442 9781571461445