@Article{Cho2016,
author = "Cho, Ilwoo",
title = "Free probability on Hecke algebras and certain group C<sup>*</sup>-algebras induced by Hecke algebras",
journal = "Opuscula Math.",
year = "2016",
volume = "36",
number = "2",
pages = "153--187",
doi = "http://dx.doi.org/10.7494/OpMath.2016.36.2.153",
url = "http://dx.doi.org/10.7494/OpMath.2016.36.2.153",
abstract = "In this paper, by establishing free-probabilistic models on the Hecke algebras \(\mathcal{H}\left(GL_{2}(\mathbb{Q}_{p})\right)\) induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\), we construct free probability spaces for all primes \(p\). Hilbert-space representations are induced by such free-probabilistic structures. We study \(C^{*}\)-algebras induced by certain partial isometries realized under the representations.",
keywords = "free probability, free moments, free cumulants, Hecke algebras, normal Hecke subalgebras, representations, groups, group \(C^{*}\)-algebras",
issn = "1232-9274"
}