Banach *-algebras generated by semicircular elements induced by certain orthogonal projections

The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections in a \(C^{*}\)-probability space.

Bibliographic Details
Main Authors: Ilwoo Cho, Palle E. T. Jorgensen
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol38/4/art/opuscula_math_3823.pdf