Journal article
Semicircular elements induced by p-adic number fields
Opuscula Mathematica, Vol.37(5), pp.665-703
01/01/2017
DOI: 10.7494/OpMath.2017.37.5.665
Abstract
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 \(\mathbb{Q}_{p}\), we construct a Banach \(*\)-algebra \(\mathfrak{LS}_{p}\), for a fixed prime \(p\), and show the generating elements \(Q_{p,j}\) of \(\mathfrak{LS}_{p}\) form weighted-semicircular elements, and the corresponding scalar-multiples \(\Theta_{p,j}\) of \(Q_{p,j}\) become semicircular elements, for all \(j\in\mathbb{Z}\). The main result of this paper is the very construction of suitable linear functionals \(\tau_{p,j}^{0}\) on \(\mathfrak{LS}_{p}\), making \(Q_{p,j}\) be weighted-semicircular, for all \(j\in\mathbb{Z}\).
Details
- Title: Subtitle
- Semicircular elements induced by p-adic number fields
- Creators
- Palle E. T Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Opuscula Mathematica, Vol.37(5), pp.665-703
- DOI
- 10.7494/OpMath.2017.37.5.665
- ISSN
- 1232-9274
- eISSN
- 2300-6919
- Publisher
- AGH Univeristy of Science and Technology Press
- Language
- English
- Date published
- 01/01/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984240864302771
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