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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله

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
Journal: Advances in Mathematics - Volume 209, Issue 1, 15 February 2007, Pages 337-362