Results 51 to 60 of about 669,567 (373)
On the homomorphisms of locally compact groups [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper, we establish a conjugacy theorem of homomorphisms of a locally compact connected semisimple group into a locally compact group.
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Appendix to Discrete localities II: p-local compact groups as localities [PDF]
arXiv, 2022 This appendix provides a connection between discrete localities and the p-local compact groups of Broto, Levi, and Oliver.
arxiv
, 1974 We define for any locally compact group G, the space of bounded uniformly continuous functionals on f, UCB(6), in the context of P. Eymard [Bull. Soc. Math. France 92 (1964), 181-236. MR 37 #42081 (for notations see next section).
E. Granirer
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On topologically invariant means on a locally compact group
, 1970 Let Xff be the set of all probability measures on ,BN. Let G be a locally compact, noncompact, amenable group. Then there is a one-one affine mapping of X& into the set of all left invariant means on L"(G). Note that XW is a very big set.
Ching Chou
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Locally compact groups which are just not compact [PDF]
Advances in Pure and Applied Mathematics, 2010 A Just-Non-Compact group, or briefly a JNC group, is a Hausdorff topological group which is not a compact group but all of whose proper Hausdorff quotients are compact groups. Intuitively, it is clear that these groups are rich in compact quotients. Locally compact JNC groups are largely described in the present paper.
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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Locally Compact Groups with All Dense Subgroups Separable [PDF]
arXiv, 2023 By a recent result of Juh\'{a}sz and van Mill, a locally compact topological group whose dense subspaces are all separable is metrizable. In this note we investigate the following question: is every locally compact group having all dense subgroups separable also metrizable?
arxiv
The second conjugate algebra of the Fourier algebra of a locally compact group
, 1981 Let G be a locally compact group and let VN(G) denote the von Neumann algebra generated by the left translations of G on L^G). Then VN(G)*, when regarded as the second conjugate space of the Fourier algebra of G, is a Banach algebra with the Arens ...
A. Lau
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Normal generation of locally compact groups [PDF]
Bulletin of the London Mathematical Society, 2013 It is a well-known open problem since the 1970s whether a finitely generated perfect group can be normally generated by a single element or not. We prove that the topological version of this problem has an affirmative answer as long as we exclude infinite discrete quotients (which is probably a necessary restriction).
Eisenmann A., Monod N.
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On topological groups with remainder of character k
Applied General Topology, 2016 In [A.V. Arhangel'skii and J. van Mill, On topological groups with a first-countable remainder, Top. Proc. 42 (2013), 157-163] it is proved that the character of a non-locally compact topological group with a first countable remainder doesn't exceed ...
Maddalena Bonanzinga +1 more
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