By Aderemi Kuku
ISBN-10: 158488603X
ISBN-13: 9781584886037
Authored via a greatest authority within the box, the ebook starts off with a cautious overview of classical K-theory, together with transparent definitions, examples, and significant classical effects. Emphasizing the sensible price of the often summary topological buildings, the writer systematically discusses better algebraic K-theory of tangible, symmetric monoidal, and Waldhausen different types with functions to orders and team jewelry and proves quite a few effects. He additionally defines profinite better ok- and G-theory of tangible different types, orders, and team jewelry. offering new insights into classical effects and starting avenues for extra purposes, the booklet then makes use of representation-theoretic techniques-especially induction theory-to study equivariant greater algebraic K-theory, their relative generalizations, and equivariant homology theories for discrete staff activities. the ultimate bankruptcy unifies Farrell and Baum-Connes isomorphism conjectures via Davis-Lück meeting maps.
Read or Download Representation Theory and Higher Algebraic K-Theory (Chapman & Hall/CRC Pure and Applied Mathematics) PDF
Best number theory books
Get The Colorado Mathematical Olympiad and Further Explorations: PDF
During the last twenty years, the as soon as small neighborhood Colorado Springs arithmetic Olympiad, based through the writer himself, has now turn into an annual state-wide pageant, website hosting over one-thousand highschool contenders every year. This up to date printing of the 1st version of Colorado Mathematical Olympiad: the 1st 20 years and additional Explorations bargains an enticing heritage of the contest in addition to an overview of the entire difficulties and strategies which were part of the competition through the years.
Download e-book for kindle: Handbook of Algebra: 5 by M. Hazewinkel
Algebra, as we all know it this day, involves many various principles, innovations and effects. an inexpensive estimate of the variety of those diversified goods will be someplace among 50,000 and 200,000. a lot of those were named and lots of extra may well (and probably may still) have a reputation or a handy designation.
This third quantity within the sequence heritage of the idea of Numbers offers fabric concerning Quadratic and better kinds. quantity III is especially fascinated with basic theories instead of with specified difficulties and particular theorems. The investigations take care of the main complex components of the idea of numbers.
Analytic houses of Automorphic L-Functions is a three-chapter textual content that covers enormous learn works at the automorphic L-functions connected by way of Langlands to reductive algebraic teams. bankruptcy I makes a speciality of the research of Jacquet-Langlands tools and the Einstein sequence and Langlands’ so-called “Euler products.
Additional info for Representation Theory and Higher Algebraic K-Theory (Chapman & Hall/CRC Pure and Applied Mathematics)
Sample text
Representation Theory and Higher Algebraic K-Theory (Chapman & Hall/CRC Pure and Applied Mathematics) by Aderemi Kuku
by Michael
4.2