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|All Authors / Contributors:||
Lizhen Ji; Kefeng Liu; Shing-Tung Yau
|Description:||ii, 517 pages : illustrations ; 26 cm.|
|Contents:||Machine generated contents note: On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory / Arthur Bartels and Wolfgang Luck --
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.
|Series Title:||Advanced lectures in mathematics (International Press), 12.|
|Responsibility:||Lizhen Ji, Kefeng Liu, and Shing-Tung Yau, editors.|
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.