Cyclic vs mixed homology

U. Kraehmer, Dylan Madden
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引用次数: 2

Abstract

The spectral theory of the Karoubi operator due to Cuntz and Quillen is extended to general mixed (duchain) complexes, that is, chain complexes which are simultaneously cochain complexes. Connes' coboundary map B can be viewed as a perturbation of the noncommutative De Rham differential d by a polynomial in the Karoubi operator. The homological impact of such perturbations is expressed in terms of two short exact sequences.
循环与混合同源
将由Cuntz和Quillen引起的Karoubi算符的谱理论推广到一般混合(duchain)配合物,即同时是协链配合物的链配合物。cones的共边界映射B可以看作是用Karoubi算子中的一个多项式对非交换De Rham微分d的扰动。这种扰动的同调影响用两个短的精确序列表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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