TY  - JOUR
ID  - Cho2016
LB  - Cho2016
AU  - Cho, Ilwoo
TI  - Free probability on Hecke algebras and certain group C<sup>*</sup>-algebras induced by Hecke algebras
ST  - Free probability on Hecke algebras and certain group C<sup>*</sup>-algebras induced by Hecke algebras
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 2
SP  - 153
EP  - 187
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.2.153
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.2.153
AB  - 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.
KW  - free probability
KW  - free moments
KW  - free cumulants
KW  - Hecke algebras
KW  - normal Hecke subalgebras
KW  - representations
KW  - groups
KW  - group \(C^{*}\)-algebras
SN  - 1232-9274
ER  -