تقرير
On The Evans Chain Complex
العنوان: | On The Evans Chain Complex |
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المؤلفون: | Lippert, S. Joseph |
سنة النشر: | 2024 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Operator Algebras |
الوصف: | We elaborate on the construction of the Evans chain complex for higher-rank graph $C^*$-algebras. Specifically, we introduce a block matrix presentation of the differential maps. These block matrices are then used to identify a wide family of higher-rank graph $C^*$-algebras with trivial K-theory. Additionally, in the specialized case where the higher-rank graph consists of one vertex, we are able to use the K\"unneth theorem to explicitly compute the homology groups of the Evans chain complex. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2407.06065 |
رقم الأكسشن: | edsarx.2407.06065 |
قاعدة البيانات: | arXiv |
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