On outer automorphisms of certain graph $C^{*}$-algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909971460915200 |
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| author | Datta, Swarnendu Goswami, Debashish Joardar, Soumalya |
| author_facet | Datta, Swarnendu Goswami, Debashish Joardar, Soumalya |
| contents | Given a countable abelian group $A$, we construct a row finite directed graph $Γ(A)$ such that the $K_{0}$-group of the graph $\textrm{C}^{\ast}$-algebra $\textrm{C}^{\ast}(Γ(A))$ is canonically isomorphic to $A$. Moreover, each element of $\textrm {Aut}(A)$ is a lift of an automorphism of the graph $\textrm{C}^{\ast}$-algebra $\textrm{C}^{\ast}(Γ(A))$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23709 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On outer automorphisms of certain graph $C^{*}$-algebras Datta, Swarnendu Goswami, Debashish Joardar, Soumalya Operator Algebras K-Theory and Homology 46L05 Given a countable abelian group $A$, we construct a row finite directed graph $Γ(A)$ such that the $K_{0}$-group of the graph $\textrm{C}^{\ast}$-algebra $\textrm{C}^{\ast}(Γ(A))$ is canonically isomorphic to $A$. Moreover, each element of $\textrm {Aut}(A)$ is a lift of an automorphism of the graph $\textrm{C}^{\ast}$-algebra $\textrm{C}^{\ast}(Γ(A))$. |
| title | On outer automorphisms of certain graph $C^{*}$-algebras |
| topic | Operator Algebras K-Theory and Homology 46L05 |
| url | https://arxiv.org/abs/2506.23709 |