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Banach ∗-algebras generated by semicircular elements induced by certain orthogonal projections
Journal article   Open access   Peer reviewed

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

Ilwoo Cho and Palle E.T Jorgensen
Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.38(4), pp.501-535
2018
DOI: 10.7494/OpMath.2018.38.4.501
url
https://doi.org/10.7494/OpMath.2018.38.4.501View
Published (Version of record) Open Access

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.

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