群的上同调与代数K-理论

群的上同调与代数K-理论
作者： LizhenJi，KefengLiu，Shing-TungYan
出版时间：2009年版
内容简介
　　Cohomology of groups is a fundamental tool in many subjects in modernmathematics. One important generalized cohmnology theory is the algebraic Ktheory，and algebraic K-groups of rings such as rings of integers and group ringsare important invariants of the rings. They have played important roles in algebra，geometric and algebraic topology， number theory， representation theory etc. Cohomologyof groups and algebraic K-groups are also closely related. For example，algebraic K-groups of rings of integers in number fields can be effectively studiedby using cohomology of arithmetic groups.
目录
Arthur Bartels and Wolfgang Liick: On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory
Oliver Baues: Deformation Spaces for A~ne Crystallographic Groups...
Kenneth S. Brown : Lectures on the Cohomology of Groups
Daniel R. Grayson : A Brief Introduction to Algebraic K-Theory
Daniel duan-Pineda and Silvia Millan-Lopez : The Braid Groups of RP2 Satisfy the Fibered Isomorphism Conjecture
Max Karoubi: K-Theory, an Elementary Introduction
Max Karoubi: Lectures on K-Theory.
Wolfqang Liick: On the Farrell-Jones and Related Conjectures
Stratos Prassidis: Introduction to Controlled Topology and Its Applications
tIouron9 Qin: Lecture Notes on K-Theory
Daniel Quillen: Higher Algebraic K-Theory: I
Daniel Quillen : Finite Generation of the Groups K, of Rings of Algebraic Integers
David Rosenthal: A User's Guide to Continuously Controlled Algebra
Christophe Sould(Notes by Marco Varisco): Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups