کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899415 | 1631544 | 2018 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Preferred traces on Câ-algebras of self-similar groupoids arising as fixed points
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Recent results of Laca, Raeburn, Ramagge and Whittaker show that any self-similar action of a groupoid on a graph determines a 1-parameter family of self-mappings of the trace space of the groupoid Câ-algebra. We investigate the fixed points for these self-mappings, under the same hypotheses that Laca et al. used to prove that the Câ-algebra of the self-similar action admits a unique KMS state. We prove that for any value of the parameter, the associated self-mapping admits a unique fixed point, which is a universal attractor. This fixed point is precisely the trace that extends to a KMS state on the Câ-algebra of the self-similar action.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 1, 1 October 2018, Pages 806-818
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 1, 1 October 2018, Pages 806-818
نویسندگان
Joan Claramunt, Aidan Sims,