Repository logo

Browsing by Subject "groups"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Free probability on Hecke algebras and certain group C*-algebras induced by Hecke algebras
    (2016) Cho, Ilwoo
    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.