具有折叠的离散双广群胚上的双Fell丛
Double Fell bundles over discrete double groupoids with folding
摘要：
在本文中，我们构造了双Fell丛和双C *-范畴的概念，作为未来可能使用的工具来描述非交换空间，特别是在有限维。本文用折叠的离散双广群上的双Fell线丛的卷积代数来确定其截面的代数。这就是所谓的双C *-代数。我们广义的Gelfand-Naimark-Segal建设双C * 范畴，我们形成的对偶范畴饱和双费尔丛使用富田竹崎对合。
英文摘要：
In this paper we construct the notions of double Fell bundle and double C*-category for possible future use as tools to describe noncommutative spaces, in particular in finite dimensions. We identify the algebra of sections of a double Fell line bundle over a discrete double groupoid with folding with the convolution algebra of the latter. This turns out to be what one might call a double C*-algebra. We generalise the Gelfand-Naimark-Segal construction to double C*-categories and we form the dual category for a saturated double Fell bundle using the Tomita-Takesaki involution.
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