Quantum isometry groups for dihedral group D2(2n+1)

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Tao, Jicheng¹  Qiu, Daowen^2,3 

[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Peoples R China

[2] Sun Yat Sen Univ, Sch Informat Sci & Technol, Guangzhou 510006, Guangdong, Peoples R China

[3] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, SQIG Inst Telecomunicacoes, P-1049001 Lisbon, Portugal

关键词: Group C*-algebra;    Spectral triple;    Quantum isometry group;   

DOI  :  10.1016/j.geomphys.2012.05.005

来源: Elsevier

【 摘 要 】

The main goal of this paper is to extend the results of Bhowmicka on quantum isometry groups associated to the dihedral group D-6 to the case of D-10, and then we show that QISO(+)(D-10, S) is isomorphic to C*(D-10) circle plus C*(D-10) as a C*-algebra. We further show that QISO(+)(D2(2n+1), S) is isomorphic C*(D2(2n+1)) circle plus C*(D2(2n+1)) as a C*-algebra, for n >= 3. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free