کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616485 1339351 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Duality, cohomology, and geometry of locally compact quantum groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Duality, cohomology, and geometry of locally compact quantum groups
چکیده انگلیسی

In this paper, we study various convolution-type algebras associated with a locally compact quantum group from cohomological and geometrical points of view. The quantum group duality endows the space of trace class operators over a locally compact quantum group with two products which are operator versions of convolution and pointwise multiplication, respectively; we investigate the relation between these two products, and derive a formula linking them. Furthermore, we define some canonical module structures on these convolution algebras, and prove that certain topological properties of a quantum group, can be completely characterized in terms of cohomological properties of these modules. We also prove a quantum group version of a theorem of Hulanicki characterizing group amenability. Finally, we study the Radon–Nikodym property of the L1L1-algebra of locally compact quantum groups. In particular, we obtain a criterion that distinguishes discreteness from the Radon–Nikodym property in this setting.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 406, Issue 1, 1 October 2013, Pages 22–33
نویسندگان
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