Module tensorizing maps on $ C^*$-algebras
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866911975401848832 |
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| author | Shirinkalam, Ahmad |
| author_facet | Shirinkalam, Ahmad |
| contents | For $ C^*$-algebras $ \mathfrak{A}, A$ and $ B $ where $ A $ and $ B $ are $ \mathfrak{A} $-bimodules with compatible actions, we consider amalgamated $ \mathfrak{A} $-module tensor product of $ A $ and $ B $ and study its relation with the C*-tensor product of $A$ and $B$ for the min and max norms. We introduce and study the notions of module tensorizing maps, module exactness, and module nuclear pairs of $ C^*$-algebras in this setting. We give concrete examples of $C^*$-algebras on inverse semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_08520 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Module tensorizing maps on $ C^*$-algebras Shirinkalam, Ahmad Operator Algebras Functional Analysis For $ C^*$-algebras $ \mathfrak{A}, A$ and $ B $ where $ A $ and $ B $ are $ \mathfrak{A} $-bimodules with compatible actions, we consider amalgamated $ \mathfrak{A} $-module tensor product of $ A $ and $ B $ and study its relation with the C*-tensor product of $A$ and $B$ for the min and max norms. We introduce and study the notions of module tensorizing maps, module exactness, and module nuclear pairs of $ C^*$-algebras in this setting. We give concrete examples of $C^*$-algebras on inverse semigroups. |
| title | Module tensorizing maps on $ C^*$-algebras |
| topic | Operator Algebras Functional Analysis |
| url | https://arxiv.org/abs/2204.08520 |