@Article{Cho2018, author = "Cho, Ilwoo and Jorgensen, Palle E. T.", title = "Banach *-algebras generated by semicircular elements induced by certain orthogonal projections", journal = "Opuscula Math.", year = "2018", volume = "38", number = "4", pages = "501--535", doi = "https://doi.org/10.7494/OpMath.2018.38.4.501", url = "https://doi.org/10.7494/OpMath.2018.38.4.501", abstract = "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.", keywords = "free probability, orthogonal projections, weighted-semicircular elements, semicircular elements", issn = "1232-9274" }