Open Access
2015 On Normalizers of $C^*$-Subalgebras in the Cuntz Algebra ${\mathcal O}_n$. II
Tomohiro Hayashi, Wojciech Szymanski
Banach J. Math. Anal. 9(4): 379-383 (2015). DOI: 10.15352/bjma/09-4-18

Abstract

We investigate subalgebras $A$ of the Cuntz algebra ${\mathcal O}_n$ that arise as finite direct sums of corners of the UHF-subalgebra ${\mathcal F}_n$. For such an $A$, we completely determine its normalizer group inside ${\mathcal O}_n$.

Citation

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Tomohiro Hayashi. Wojciech Szymanski. "On Normalizers of $C^*$-Subalgebras in the Cuntz Algebra ${\mathcal O}_n$. II." Banach J. Math. Anal. 9 (4) 379 - 383, 2015. https://doi.org/10.15352/bjma/09-4-18

Information

Published: 2015
First available in Project Euclid: 17 April 2015

zbMATH: 1327.46051
MathSciNet: MR3336897
Digital Object Identifier: 10.15352/bjma/09-4-18

Subjects:
Primary: 46L05
Secondary: 16U70 , 46L40

Keywords: Cuntz algebra , normalizer , relative commutant

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.9 • No. 4 • 2015
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