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
2022-01-01
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 automorphismFile in questo prodotto:
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