شماره ركورد كنفرانس
4338
عنوان مقاله
K-theory for Cantor minimal systems
پديدآورندگان
Amini Massoud mamini@modares.ac.ir Department of Pure Mathematics, Tarbiat Modares University, Tehran, Iran; , Elliott George A. elliott@math.toronto.edu Department of Mathematics, University of Toronto, Toronto, Ontario, Canada; , Golestani Nasser n.golestani@modares.ac.ir Department of Pure Mathematics, Tarbiat Modares University, Tehran, Iran;
تعداد صفحه
4
كليدواژه
Cantor minimal system , dimension group , C* , algebra , category , orbit equivalence
سال انتشار
1395
عنوان كنفرانس
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
زبان مدرك
انگليسي
چكيده فارسي
We propose several notions of morphisms between Cantor minimal systems and we construct various functors between the resulting categories and the categories of dimension groups and C*-algebras. We construct a functor $\mathrm{K}^{0}$ to give functorial formulations of some results of Giordano, Putnam, and Skau concerning orbit equivalence and a result of Glasner and Weiss concerning weak orbit equivalence. In particular, we give an equivalent condition in terms of C*-algebras for weak orbit equivalence.
كشور
ايران
لينک به اين مدرک