کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590235 1334941 2014 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Zappa–Szép products of semigroups and their C⁎C⁎-algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Zappa–Szép products of semigroups and their C⁎C⁎-algebras
چکیده انگلیسی

Zappa–Szép products of semigroups provide a rich class of examples of semigroups that include the self-similar group actions of Nekrashevych. We use Li's construction of semigroup C⁎C⁎-algebras to associate a C⁎C⁎-algebra to Zappa–Szép products and give an explicit presentation of the algebra. We then define a quotient C⁎C⁎-algebra that generalises the Cuntz–Pimsner algebras for self-similar actions. We indicate how known examples, previously viewed as distinct classes, fit into our unifying framework. We specifically discuss the Baumslag–Solitar groups, the binary adding machine, the semigroup N⋊N×N⋊N×, and the ax+bax+b-semigroup Z⋊Z×Z⋊Z×.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 6, 15 March 2014, Pages 3937–3967
نویسندگان
, , , ,