Z_(k)-海森堡群的量子等距群  

Quantum Isometry Groups of Z_(k)-Heisenberg Groups

作　　者：陶继成 韩亚洲[1] TAO Jicheng;HAN Yazhou(Department of Applied Mathematics,China Jiliang University,Hangzhou,Zhejiang,310018,P.R.China)

机构地区：[1]中国计量大学应用数学系,浙江杭州310018

出　　处：《数学进展》2022年第1期143-152,共10页Advances in Mathematics（China）

基　　金：Partially supported by NSF of Zhejiang Province(Nos.LY16A010009,LY18A010013)。

摘　　要：本文讨论了离散海森堡群ΓZ_(k)(k>1)的量子等距群Q(ΓZ_(k),S),结果表明量子等距群Q(ΓZ_(k),S)与C^(*)(ΓZ_(k))⊕C^(*)(ΓZ_(k))是一致的,其中C^(*)(ΓZ_(k))⊕C^(*)(ΓZ_(k))是(C^(*)(ΓZ_(k)),△)对应于所给自同构θ的双覆.In this paper,we discuss the quantum isometry groups Q(ΓZ_(k),S)associated to the discrete Heisenberg groupsΓZ_(k)(k>1),and then show that the quantum isometry groups Q(ΓZ_(k),S)coincides with C*(ΓZ_(k))⊕C*(ΓZ_(k)),where C*(ΓZ_(k))⊕C*(ΓZ_(k))is the doubling of(C*(ΓZ_(k)),Δ)corresponding to a given automorphism B.

关 键 词：谱三角 紧量子群 量子等距群 

分 类 号：O152.6[理学—数学] O177.5[理学—基础数学]