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

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 ${\mathcal O}_n$.