کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665755 1633829 2014 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spaces of graphs, boundary groupoids and the coarse Baum–Connes conjecture
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Spaces of graphs, boundary groupoids and the coarse Baum–Connes conjecture
چکیده انگلیسی

We introduce a new variant of the coarse Baum–Connes conjecture designed to tackle coarsely disconnected metric spaces called the boundary coarse Baum–Connes conjecture. We prove this conjecture for many coarsely disconnected spaces that are known to be counterexamples to the coarse Baum–Connes conjecture. In particular, we give a geometric proof of this conjecture for spaces of graphs that have large girth and bounded vertex degree. We then connect the boundary conjecture to the coarse Baum–Connes conjecture using homological methods, which allows us to exhibit all the current uniformly discrete counterexamples to the coarse Baum–Connes conjecture in an elementary way.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 259, 10 July 2014, Pages 306–338
نویسندگان
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