The radius of comparison for actions of Z^d on simple AH 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_ | 1866912264408268800 |
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| author | Asadi-Vasfi, M. Ali Hirshberg, Ilan Seth, Apurva |
| author_facet | Asadi-Vasfi, M. Ali Hirshberg, Ilan Seth, Apurva |
| contents | Given 0 \leq r' \leq r \leq \infty, and d \in N, we construct a simple unital AH algebra A with stable rank one, and a pointwise outer action α: Z^d \to Aut(A), such that rc(A)=r and rc (A \rtimes_α Z^d)=r'. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05329 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The radius of comparison for actions of Z^d on simple AH algebras Asadi-Vasfi, M. Ali Hirshberg, Ilan Seth, Apurva Operator Algebras Given 0 \leq r' \leq r \leq \infty, and d \in N, we construct a simple unital AH algebra A with stable rank one, and a pointwise outer action α: Z^d \to Aut(A), such that rc(A)=r and rc (A \rtimes_α Z^d)=r'. |
| title | The radius of comparison for actions of Z^d on simple AH algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2503.05329 |