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mmr 2026, 11(4): 1-7 |
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Asadi M B, Hassanpour-Yakhdani Z. A Study of the Furstenberg Boundary for Pair of Groups. mmr 2026; 11 (4) :1-7
URL: http://mmr.khu.ac.ir/article-1-3474-en.html
URL: http://mmr.khu.ac.ir/article-1-3474-en.html
1- University of Tehran , mb.asadi@ut.ac.ir
2- University of Tehran
2- University of Tehran
Abstract: (148 Views)
In this paper, assuming that G is a discrete topological group and H is a subgroup of G, we introduce the notion of a (G, H)-operator system and define the Hamana boundary for pairs of groups (G, H). In fact, we show that the Furstenberg boundary for pairs of groups is isomorphic to the Hamana boundary for pairs of groups. In other words, the natural extension of the classical theory of Furstenberg boundaries remains valid for the Furstenberg boundary associated with pairs of groups (G, H).
Type of Study: S |
Subject:
Anal
Received: 2025/12/27 | Revised: 2026/02/26 | Accepted: 2026/01/4 | Published: 2026/01/19 | ePublished: 2026/01/19
Received: 2025/12/27 | Revised: 2026/02/26 | Accepted: 2026/01/4 | Published: 2026/01/19 | ePublished: 2026/01/19
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