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Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
Axioms, 2021 This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century.
Karl H. Hofmann, Sidney A. Morris
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G-compactness and groups [PDF]
Archive for Mathematical Logic, 2008 18 ...
Jakub Gismatullin, Ludomir Newelski
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Compact group actions with the Rokhlin property [PDF]
Transactions of the American Mathematical Society, 2018 We provide a systematic and in-depth study of compact group actions with the Rokhlin property. It is show that the Rokhlin property is generic in some cases of interest; the case of totally disconnected groups being the most satisfactory one.
Eusebio Gardella
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Lacunarity for Compact Groups [PDF]
Proceedings of the National Academy of Sciences, 1971 Let G be a compact Abelian group with character group X. A subset Δ of X is called a [unk] q set (1 < q < ∞) if for all trigonometric polynomials f = [unk] k =1
Edwards, R. E., Hewitt, E., Ross, K. A.
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Compact Subgroups of Lie Groups and Locally Compact Groups [PDF]
Proceedings of the American Mathematical Society, 1994 We show that the set of compact subgroups in a connected Lie group is inductive. In fact, a locally compact group G G has ...
Hofmann, Karl H., Terp, Christian
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Frames generated by compact group actions [PDF]
, 2015 Let $K$ be a compact group, and let $\rho$ be a representation of $K$ on a Hilbert space $\mathcal{H}_\rho$. We classify invariant subspaces of $\mathcal{H}_\rho$ in terms of range functions, and investigate frames of the form $\{\rho(\xi) f_i\}_{\xi \in
Joseph W. Iverson
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VARIABLE LEBESGUE ALGEBRA ON A LOCALLY COMPACT GROUP
Проблемы анализа, 2023 For a locally compact group 𝐻 with a left Haar measure, we study the variable Lebesgue algebra L^(p(.))(𝐻) with respect to convolution. We show that if L^(p(.))(𝐻) has a bounded exponent, then it contains a left approximate identity.
P. Saha, B. Hazarika
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Rokhlin dimension for compact group actions [PDF]
, 2014 We introduce and systematically study the notion of Rokhlin dimension (with and without commuting towers) for compact group actions on $C^*$-algebras. This notion generalizes the one introduced by Hirshberg, Winter and Zacharias for finite groups, and ...
Eusebio Gardella
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Crossed products by compact group actions with the Rokhlin property [PDF]
, 2014 We present a systematic study of the structure of crossed products and fixed point algebras by compact group actions with the Rokhlin property on not necessarily unital C*-algebras.
Eusebio Gardella
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ENHANCED WARM H2 EMISSION IN THE COMPACT GROUP MID-INFRARED “GREEN VALLEY” [PDF]
, 2013 We present results from a Spitzer mid-infrared spectroscopy study of a sample of 74 galaxies located in 23 Hickson Compact Groups (HCGs), chosen to be at a dynamically active stage of H i depletion.
M. Cluver +14 more
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