On Normalizers of $C^*$-Subalgebras in the Cuntz Algebra ${\mathcal O}_n$. II

Tomohiro Hayashi; Wojciech Szymanski

arxiv: 1501.04375 · v1 · pith:63IOG22Enew · submitted 2015-01-19 · 🧮 math.OA

On Normalizers of C^*-Subalgebras in the Cuntz Algebra {mathcal O}_n. II

Tomohiro Hayashi , Wojciech Szymanski This is my paper

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keywords mathcalalgebracuntzsubalgebrasarisecompletelycornersdetermine

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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 ${\mathcal O}_n$.

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On Normalizers of C^*-Subalgebras in the Cuntz Algebra {mathcal O}_n. II

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