Cuntz algebra automorphisms: transpositions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908464551297024 |
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| author | Pan, Junyao |
| author_facet | Pan, Junyao |
| contents | Permutative automorphisms of the Cuntz algebras $\mathcal{O}_n$ are in bijection with the stable permutations of $[n]^t$. They are also the elements of the reduced Weyl group of $Aut(\mathcal{O}_n)$. In this paper, we characterize the stability of transpositions in $S([n]^3)$, and thus providing a new family (with $6$ degrees of freedom) of automorphisms of the Cuntz algebras $\mathcal{O}_n$ for any $n>1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18358 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cuntz algebra automorphisms: transpositions Pan, Junyao Operator Algebras Combinatorics Group Theory Permutative automorphisms of the Cuntz algebras $\mathcal{O}_n$ are in bijection with the stable permutations of $[n]^t$. They are also the elements of the reduced Weyl group of $Aut(\mathcal{O}_n)$. In this paper, we characterize the stability of transpositions in $S([n]^3)$, and thus providing a new family (with $6$ degrees of freedom) of automorphisms of the Cuntz algebras $\mathcal{O}_n$ for any $n>1$. |
| title | Cuntz algebra automorphisms: transpositions |
| topic | Operator Algebras Combinatorics Group Theory |
| url | https://arxiv.org/abs/2507.18358 |