循环对偶的范畴方法
A categorical approach to cyclic duality
摘要:
本文的目的是提供一个统一的范畴框架的许多例子的para-co循环模产生的Hopf循环理论。在这种方法中,系数的功能性是直接的。构造了一个对应于Connes循环对偶的函子.我们的方法允许,特别是,扩展的Hopf循环理论(Hopf)bialgebroids。
英文摘要:
The aim of this paper is to provide a unifying categorical framework for the many examples of para-(co)cyclic modules arising from Hopf cyclic theory. Functoriality of the coefficients is immediate in this approach. A functor corresponding to Connes's cyclic duality is constructed. Our methods allow, in particular, to extend Hopf cyclic theory to (Hopf) bialgebroids.
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