On the Farrell-jones and Related Conjectures

نویسنده

  • WOLFGANG LÜCK
چکیده

These extended notes are based on a series of six lectures presented at the summer school “Cohomology of groups and algebraic K-theory” which took place in Hangzhou, China from July 1 until July 12 in 2007. They give an introduction to the Farrell-Jones and the Baum-Connes Conjecture.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Farrell-Jones Conjecture and its applications

We present the status of the Farrell-Jones Conjecture for algebraic K-theory for a group G and arbitrary coefficient rings R. We add new groups for which the conjecture is known to be true and study inheritance properties. We discuss new applications, focussing on the Bass Conjecture, the Kaplansky Conjecture and conjectures generalizing Moody’s Induction Theorem. Thus we extend the class of gr...

متن کامل

Inheritance of Isomorphism Conjectures under colimits

We investigate when Isomorphism Conjectures, such as the ones due to Baum-Connes, Bost and Farrell-Jones, are stable under colimits of groups over directed sets (with not necessarily injective structure maps). We show in particular that both the K-theoretic Farrell-Jones Conjecture and the Bost Conjecture with coefficients hold for those groups for which Higson, Lafforgue and Skandalis have dis...

متن کامل

9 M ay 2 00 7 Inheritance of Isomorphism Conjectures un - der colimits Arthur Bartels , Siegfried Echterhoff and Wolfgang Lück

We investigate when Isomorphism Conjectures, such as the ones due to BaumConnes, Bost and Farrell-Jones, are stable under colimits of groups over directed sets (with not necessarily injective structure maps). We show in particular that both the K-theoretic Farrell-Jones Conjecture and the Bost Conjecture with coefficients hold for those groups for which Higson, Lafforgue and Skandalis have disp...

متن کامل

Model Theoretic Reformulation of the Baum-connes and Farrell-jones Conjectures

The Isomorphism Conjectures are translated into the language of homotopical algebra, where they resemble Thomason’s descent theorems.

متن کامل

K - and L-theory of group rings

This article will explore the Kand L-theory of group rings and their applications to algebra, geometry and topology. The Farrell-Jones Conjecture characterizes Kand L-theory groups. It has many implications, including the Borel and Novikov Conjectures for topological rigidity. Its current status, and many of its consequences are surveyed. Mathematics Subject Classification (2000). Primary 18F25...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007