We investigate the structure of the fixed-point algebra of On under the action of the cyclic permutation of the generating isometries. We prove that it is ⁎-isomorphic with On, 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 algebra / Aiello, V.; Rossi, S.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 505:1(2022). [10.1016/j.jmaa.2021.125476]
On the cyclic automorphism of the Cuntz algebra and its fixed-point algebra
Aiello V.
;
2022
Abstract
We investigate the structure of the fixed-point algebra of On under the action of the cyclic permutation of the generating isometries. We prove that it is ⁎-isomorphic with On, 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.File allegati a questo prodotto
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