کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4668329 1345514 2007 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coefficients for the Farrell–Jones Conjecture
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Coefficients for the Farrell–Jones Conjecture
چکیده انگلیسی

We introduce the Farrell–Jones Conjecture with coefficients in an additive category with G-action. This is a variant of the Farrell–Jones Conjecture about the algebraic K- or L-theory of a group ring RG. It allows to treat twisted group rings and crossed product rings. The conjecture with coefficients is stronger than the original conjecture but it has better inheritance properties. Since known proofs using controlled algebra carry over to the set-up with coefficients we obtain new results about the original Farrell–Jones Conjecture. The conjecture with coefficients implies the fibered version of the Farrell–Jones Conjecture.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 209, Issue 1, 15 February 2007, Pages 337-362