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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:505

Article

Aiello, Valeriano¹  Rossi, Stefano² 

[1] Univ Bern, Math Inst, Alpeneggstr 22, CH-3012 Bern, Switzerland

[2] Univ Aldo Moro Bari, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

关键词: Cuntz algebras;    Fixed point algebras;    Finite group actions;    Proper isometries;   

DOI  :  10.1016/j.jmaa.2021.125476

来源: Elsevier

【 摘 要 】

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 On, thus generalizing a result of Choi and Latremoliere on O-2. As an application of the technique employed, we also describe the fixed-point algebra of O-2n under the exchange automorphism. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

【 授权许可】

Free