Kazhdan's Property and Weak Containment for Hypergroups

被引:0
|
作者
Salec, Alireza Bagheri [1 ]
Tabatabaie, Seyyed Mohammad [1 ]
Karami, Benyamin [1 ]
机构
[1] Univ Qom, Dept Math, Qom 3716146611, Iran
来源
关键词
Locally compact hypergroup; Kazhdan's property; Weak containment; Strong containment; INDUCED REPRESENTATIONS;
D O I
10.1007/s41980-018-0028-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the notion of strong and weak containment for representations of hypergroups, and investigate their relationships to functions of positive type. We also define and study the notion of Kazhdan's property for hypergroups.
引用
收藏
页码:417 / 435
页数:19
相关论文
共 50 条
  • [1] Kazhdan’s Property and Weak Containment for Hypergroups
    Alireza Bagheri Salec
    Seyyed Mohammad Tabatabaie
    Benyamin Karami
    Bulletin of the Iranian Mathematical Society, 2018, 44 : 417 - 435
  • [2] Property A for hypergroups
    Tabatabaie, Seyyed Mohammad
    Amini, Massoud
    Amjadi, Ali Asghar
    SEMIGROUP FORUM, 2022, 104 (02) : 464 - 479
  • [3] Profinite completions and Kazhdan's property (T)
    Aka, Menny
    GROUPS GEOMETRY AND DYNAMICS, 2012, 6 (02) : 221 - 229
  • [4] Kazhdan's property T and C*-algebras
    Brown, Nathanial R.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 240 (01) : 290 - 296
  • [5] Bounded generation and Kazhdan's property (T)
    Shalom Y.
    Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 1999, 90 (1): : 145 - 168
  • [6] Property A for hypergroups
    Seyyed Mohammad Tabatabaie
    Massoud Amini
    Ali Asghar Amjadi
    Semigroup Forum, 2022, 104 : 464 - 479
  • [7] BOUNDED GENERATION AND KAZHDAN'S PROPERTY (T)
    Shalom, Yehuda
    PUBLICATIONS MATHEMATIQUES, 1999, (90): : 145 - 168
  • [8] New approaches to the Kazhdan's property (T)
    Valette, A
    ASTERISQUE, 2004, (294) : 97 - 124
  • [9] Neretin's groups and Kazhdan's property (T)
    Navas, A
    COMPTES RENDUS MATHEMATIQUE, 2002, 335 (10) : 789 - 792
  • [10] A C*-analogue of kazhdan's property (T)
    Pavlov, A. A.
    Troitsky, E. V.
    ADVANCES IN MATHEMATICS, 2007, 216 (01) : 75 - 88