Homological dimensions of smooth crossed products
نویسندگان
چکیده
In this paper we provide upper estimates for the global projective dimensions of smooth crossed products $$\mathscr {S}(G, A; \alpha )$$ $$G = \mathbb {R}$$ and {T}$$ a self-induced Fréchet–Arens–Michael algebra A. To do this, powerful generalization methods which are used in works Ogneva Helemskii.
منابع مشابه
N ov 2 00 3 HOMOLOGICAL DIMENSION OF CROSSED PRODUCTS ∗
Throughout this paper, k is a field, R is an algebra over k, and H is a Hopf algebra over k. We say that R# σ H is the crossed product of R and H if R# σ H becomes an algebra over k by multiplication: (a#h)(b#g) = h,g a(h 1 · b)σ(h 2 , g 1)#h 3 g 2 Let lpd(R M), lid(R M) and lf d(R M) denote the left projective dimension, left injective dimension and left flat dimension of left R-module M, resp...
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ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2021
ISSN: ['2639-7390', '2008-8752']
DOI: https://doi.org/10.1007/s43034-021-00125-w