Examples of non-compact quantum group actions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:372

Article

Soltan, Piotr Mikolaj^1,2 

[1] Univ Warsaw, Fac Phys, Dept Math Methods Phys, PL-00325 Warsaw, Poland

[2] Polish Acad Sci, Inst Math, PL-00901 Warsaw, Poland

关键词: Quantum group;    Quantum group action;    C*-algebra;    Quantum homogeneous space;   

DOI  :  10.1016/j.jmaa.2010.06.045

来源: Elsevier

【 摘 要 】

We present two examples of actions of non-regular locally compact quantum groups on their homogeneous spaces. The homogeneous spaces are defined in a way specific to these examples, but the definitions we use have the advantage of being expressed in purely C*-algebraic language. We also discuss continuity of the obtained actions. Finally we describe in detail a general construction of quantum homogeneous spaces obtained as quotients by compact quantum subgroups. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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