- Tytuł:
- Semicircular elements induced by p-adic number fields
- Autorzy:
-
Cho, I.
Jorgensen, P. E. T. - Powiązania:
- https://bibliotekanauki.pl/articles/255340.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
free probability
primes
p-adic number fields Qp
Hilbert-space representations
C*-algebras
wighted-semicircular elements
semicircular elements - Opis:
- In this paper, we study semicircular-like elements, and semicircular elements induced by p-adic analysis, for each prime p. Starting from a p-adic number field Qp, we construct a Banach *-algebra [formula], for a fixed prime p, and show the generating elements Qpj of [formula] form weighted-semicircular elements, and the corresponding scalar-multiples Θpj of Qpj become semicircular elements, for all j ∈ Z. The main result of this paper is the very construction of suitable linear functionals [formula] on [formula], making Qpj be weighted-semicircular, for all j ∈ Z.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 5; 665-703
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł