Module version of tensorizing maps and tensor products on $C^*$-algebras | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 10، دوره 7، شماره 4، زمستان 2026، صفحه 479-491 اصل مقاله (451.5 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.24545.1437 | ||
| نویسنده | ||
| Ahmad Shirinkalam* 1، 2 | ||
| 1Department of Mathematics, CT.C, Islamic Azad University, Tehran, Iran | ||
| 2Institute of Cognitive Computational Science, CT.C, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| 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 illustrate our results for the concrete examples of $C^*$-algebras on inverse semigroups. | ||
| کلیدواژهها | ||
| Module tensor product؛ Module tensorizing map؛ Module nuclear $C^*$-algebra؛ Module exact $C^*$-algebra | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 186 تعداد دریافت فایل اصل مقاله: 59 |
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