Traces in monoidal categories
Traces in monoidal categories
复制标题
幺半群类别中的迹线
DOI：
10.1090/s0002-9947-2012-05615-7
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发表时间：
2010
影响因子：
1.3
通讯作者：
P. Teichner
中科院分区：
文献类型：
--
作者：
S. Stolz;P. Teichner
本文的主要结果是构造了Monoidal范畴中满足适当条件的自同态的迹和迹对。这个构造是平衡monoidal范畴中可对偶对象的自同态的迹和具有逼近性质的局部凸拓扑向量空间上核算子的迹的一般推广。
The main result of this paper is the construction of a trace and a trace pairing for endomorphisms satisfying suitable conditions in a monoidal category. This construction is a common generalization of the trace for endomorphisms of dualizable objects in a balanced monoidal category and the trace of nuclear operators on a locally convex topological vector space with the approximation property.