کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6415104 | 1334935 | 2015 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Boundary quotients of C*-algebras of right LCM semigroups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
We study C*-algebras associated to right LCM semigroups, that is, semigroups which are left cancellative and for which any two principal right ideals are either disjoint or intersect in another principal right ideal. If P is such a semigroup, its C*-algebra admits a natural boundary quotient Q(P). We show that Q(P) is isomorphic to the tight C*-algebra of a certain inverse semigroup associated to P, and thus is isomorphic to the C*-algebra of an étale groupoid. We use this to give conditions on P which guarantee that Q(P) is simple and purely infinite, and give applications to self-similar groups and Zappa-Szép products of semigroups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 268, Issue 11, 1 June 2015, Pages 3326-3356
Journal: Journal of Functional Analysis - Volume 268, Issue 11, 1 June 2015, Pages 3326-3356
نویسندگان
Charles Starling,