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arXiv · 1905.08400

Homological dimensions of smooth crossed products

Petr Kosenko
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Abstract

In this paper we provide upper estimates for the global projective dimensions of smooth crossed products $\mathscr{S}(G, A; \alpha)$ for $G = \mathbb{R}$ and $G = \mathbb{T}$ and a self-induced Fr\'echet-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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Petr Kosenko. 2019-05-21. Homological dimensions of smooth crossed products. https://arxiv.org/abs/1905.08400

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