光滑交叉积的同调维数
Homological dimensions of smooth crossed products
摘要：
本文给出了$G = \mathbb{R}$和$G = \mathbb{T}$的光滑交叉积$\mathscr{S}(G, A; α)$以及自诱导Fréchet-Arens-Michael代数$A$的整体投射维数的上估计.为了做到这一点，我们提供了一个强大的推广的方法，在Ogneva和Helemskii的作品中使用。
英文摘要：
In this paper we provide upper estimates for the global projective dimensions of smooth crossed products $\mathscr{S}(G, A; α)$ for $G = \mathbb{R}$ and $G = \mathbb{T}$ and a self-induced Fréchet-Arens-Michael algebra $A$. In order to do this, we provide a powerful generalization of methods which are used in the works of Ogneva and Helemskii.
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