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On normalizers of C*-subalgebras in the Cuntz algebra $\mathcal{O}_{n}$

On normalizers of C*-subalgebras in the Cuntz algebra $\mathcal{O}_{n}$

In this paper we investigate the normalizer N On (A) of a C *subalgebra A ⊂ F n where F n is the canonical UHF-subalgebra of type n ∞ in the Cuntz algebra O n .Under the assumption that the relative commutant A ′ ∩ F n is finite-dimensional, we …