کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415271 1335093 2009 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Metric aspects of noncommutative homogeneous spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Metric aspects of noncommutative homogeneous spaces
چکیده انگلیسی

For a closed cocompact subgroup Γ of a locally compact group G, given a compact abelian subgroup K of G and a homomorphism ρ:Kˆ→G satisfying certain conditions, Landstad and Raeburn constructed equivariant noncommutative deformations C∗(Gˆ/Γ,ρ) of the homogeneous space G/Γ, generalizing Rieffel's construction of quantum Heisenberg manifolds. We show that when G is a Lie group and G/Γ is connected, given any norm on the Lie algebra of G, the seminorm on C∗(Gˆ/Γ,ρ) induced by the derivation map of the canonical G-action defines a compact quantum metric. Furthermore, it is shown that this compact quantum metric space depends on ρ continuously, with respect to quantum Gromov-Hausdorff distances.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 257, Issue 7, 1 October 2009, Pages 2325-2350
نویسندگان
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