CERTAIN GROUP DYNAMICAL SYSTEMS INDUCED BY HECKE ALGEBRAS

被引：1
作者：
Cho, Ilwoo [1 ]
机构：
[1] St Ambrose Univ, Dept Math & Stat, 421 Ambrose Hall,518 W Locust St, Davenport, IA 52803 USA
来源：
OPUSCULA MATHEMATICA | 2016年 / 36卷 / 03期
关键词：
free probability; free moments; free cumulants; Hecke algebra; normal Hecke subalgebra; free probability spaces; representations; operators; Hilbert spaces; dynamical systems; crossed product algebras;
D O I：
10.7494/OpMath.2016.36.3.337
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study dynamical systems induced by a certain group I-N(K) embedded in the Hecke algebra H(G(p)) induced by the generalized linear group G(p) = GL(2)(Q(p)) over the p-adic number fields Q(p) for a fixed prime p. We study fundamental properties of such dynamical systems and the corresponding crossed product algebras in terms of free probability on the Hecke algebra H(G(p)).
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页码：337 / 373
页数：37
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