کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778533 | 1633772 | 2017 | 73 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Câ-algebras associated to graphs of groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
To a large class of graphs of groups we associate a Câ-algebra universal for generators and relations. We show that this Câ-algebra is stably isomorphic to the crossed product induced from the action of the fundamental group of the graph of groups on the boundary of its Bass-Serre tree. We characterise when this action is minimal, and find a sufficient condition under which it is locally contractive. In the case of generalised Baumslag-Solitar graphs of groups (graphs of groups in which every group is infinite cyclic) we also characterise topological freeness of this action. We are then able to establish a dichotomy for simple Câ-algebras associated to generalised Baumslag-Solitar graphs of groups: they are either a Kirchberg algebra, or a stable Bunce-Deddens algebra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 316, 20 August 2017, Pages 114-186
Journal: Advances in Mathematics - Volume 316, 20 August 2017, Pages 114-186
نویسندگان
Nathan Brownlowe, Alexander Mundey, David Pask, Jack Spielberg, Anne Thomas,