Temat: free cumulants - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Free probability on Hecke algebras and certain group C*-algebras induced by Hecke algebras
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/255166.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
free moments
free cumulants
Hecke algebras
normal Hecke subalgebras
representations
groups
group C*-algebras
Opis:: In this paper, by establishing free-probabilistic models on the Hecke algebras [formula] induced by p-adic number fields Qp, 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.
Źródło:: Opuscula Mathematica; 2016, 36, 2; 153-187
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Free probability induced by electric resistance networks on energy Hilbert spaces
Autorzy:: Cho, I.
Jorgensen, P. E. T.
Powiązania:: https://bibliotekanauki.pl/articles/254830.pdf
Data publikacji:: 2011
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: directed graphs
graph groupoids
electric resistance networks
ERN-groupoids
energy Hilbert spaces
ERN-algebras
free moments
free cumulants
Opis:: We show that a class of countable weighted graphs arising in the study of electric resistance networks (ERNs) are naturally associated with groupoids. Starting with a fixed ERN, it is known that there is a canonical energy form and a derived energy Hilbert space Hε. From Hε, one then studies resistance metrics and boundaries of the ERNs. But in earlier research, there does not appear to be a natural algebra of bounded operators acting on Hε. With the use of our ERN-groupoid, we show that Hε may be derived as a representation Hilbert space of a universal representation of a groupoid algebra [formula], and we display other representations. Among our applications, we identify a free structure of [formula] in terms of the energy form.
Źródło:: Opuscula Mathematica; 2011, 31, 4; 549-598
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Certain group dynamical systems induced by Hecke algebras
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/255101.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
free moments
free cumulants
Hecke algebra
normal Hecke subalgebra
free probability spaces
representations
operators
Hilbert spaces
dynamical systems
crossed product algebras
Opis:: In this paper, we study dynamical systems induced by a certain group [formula] embedded in the Hecke algebra H(Gp) induced by the generalized linear group Gp = GL2(Qp) over the p-adic number fields Qp for a fixed prime p. We study fundamental properties of such dynamical systems and the corresponding crossed product algebras in terms ol free probability on the Hecke algebra H(Gp).
Źródło:: Opuscula Mathematica; 2016, 36, 3; 337-373
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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