Free Probability on Hecke Algebras

被引：10
|
作者：
Cho, Ilwoo [1 ]
Gillespie, Timothy L. [1 ]
机构：
[1] St Ambrose Univ, Dept Math, Davenport, IA 52803 USA
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2015年 / 9卷 / 07期
关键词：
Free probability; Free moments; Free cumulants; Hecke algebras; p-adic number fields; Normal Hecke subalgebras; Free probability spaces;
D O I：
10.1007/s11785-014-0403-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a free-probabilistic model on the Hecke algebras induced by -adic number fields. It provides a new bridge between operator algebra theory and number theory. Based on number-theoretic and algebraic results from Hecke algebra theory, we consider operator-theoretic structures and properties via our free-probabilistic model.
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页码：1491 / 1531
页数：41
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