Locally compact groups with permutable closed subgroups
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DOI: 10.1016/j.aim.2021.107894
Abstract: Abstract We give a detailed description of all totally disconnected locally compact groups with only compact elements in which any two closed subgroups are permutable and their product being a closed subgroup again. This amounts… read more here.
Keywords: compact groups; closed subgroups; groups permutable; locally compact ... See more keywords
A dichotomy property for locally compact groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.03.013
Abstract: We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which… read more here.
Keywords: dichotomy property; locally compact; property locally; compact group ... See more keywords
Locally compact groups approximable by subgroups isomorphic to Z or R
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DOI: 10.1016/j.topol.2016.11.005
Abstract: Abstract Let G be a locally compact topological group, G 0 the connected component of its identity element, and comp ( G ) the union of all compact subgroups. A topological group will be called… read more here.
Keywords: topological group; locally compact; topology; compact groups ... See more keywords
Strict topology on locally compact groups
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DOI: 10.1016/j.topol.2017.04.028
Abstract: Abstract Let G be a locally compact group, A a subalgebra of the measure algebra M ( G ) , and A a family of Borel subsets of G that is closed under finite unions.… read more here.
Keywords: strict topology; topology locally; locally compact; topology ... See more keywords
FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS
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DOI: 10.1017/s0017089518000484
Abstract: Abstract In this paper, we investigate free actions of some compact groups on cohomology real and complex Milnor manifolds. More precisely, we compute the mod 2 cohomology algebra of the orbit space of an arbitrary… read more here.
Keywords: milnor manifolds; actions compact; groups milnor; free actions ... See more keywords
Amenability of locally compact groups with probability to return at the origin
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DOI: 10.1080/09720502.2020.1714894
Abstract: Abstract In 1959, Harry Kesten proved that there is a relation between the amenability and the estimates of symmetric random walk on finitely generated groups. Our aim is to give a generalization of the Kesten’s… read more here.
Keywords: return origin; locally compact; amenability; probability return ... See more keywords
Stellar population properties of ETGs in compact groups of galaxies
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DOI: 10.1093/mnras/staa386
Abstract: We present results on the study of the stellar population in Early-Type galaxies (ETGs) belonging to 151 Compact Groups (CGs). We also selected a field sample composed of 846 ETGs to investigate environmental effects on… read more here.
Keywords: field; stellar population; low mass; population properties ... See more keywords
The influence of Hickson-like compact group environment on galaxy luminosities
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DOI: 10.1093/mnras/stac1374
Abstract: Compact groups of galaxies are devised as extreme environments where interactions may drive galaxy evolution. In this work, we analysed whether the luminosities of galaxies inhabiting compact groups differ from those of galaxies in loose… read more here.
Keywords: hickson like; galaxy; like compact; group ... See more keywords
Hickson-like compact groups inhabiting different environments
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DOI: 10.1093/mnras/stad416
Abstract: Although Compact Groups of galaxies (CGs) have been envisioned as isolated extremely dense structures in the Universe, it is accepted today that many of them could be not as isolated as thought. In this work,… read more here.
Keywords: cgs; hickson like; like compact; groups inhabiting ... See more keywords
A Unified Approach to the Arens Regularity and Related Problems for a Class of Banach Algebras Associated With Locally Compact Groups
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DOI: 10.1093/qmath/haab005
Abstract: Based on Katznelson–Tzafriri Theorem on power bounded operators, we prove in this paper a theorem, which applies to the most of the classical Banach algebras of harmonic analysis associated with locally compact groups, to deal… read more here.
Keywords: compact groups; associated locally; banach algebras; banach ... See more keywords
Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
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DOI: 10.3390/axioms10030190
Abstract: 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. It begins with developments… read more here.
Keywords: pro lie; groups pro; theory compact; lie groups ... See more keywords