We investigate the structure of the fixed-point algebra of $O_n$ under the action of the cyclic permutation of the generating isometries. We prove that it is *- isomorphic with $O_n$, thus generalizing a result of Choi and Latrémolière on O2. As an application of the technique employed, we also describe the fixed-point algebra of O2n under the exchange automorphism

On the cyclic automorphism of the Cuntz algebra and its fixed-point subalgebra

Rossi, Stefano
2021-01-01

Abstract

We investigate the structure of the fixed-point algebra of $O_n$ under the action of the cyclic permutation of the generating isometries. We prove that it is *- isomorphic with $O_n$, thus generalizing a result of Choi and Latrémolière on O2. As an application of the technique employed, we also describe the fixed-point algebra of O2n under the exchange automorphism
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/370252
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