Results 11 to 20 of about 440,031 (362)
ERGODIC PROPERTIES OF AUTOMORPHISMS OF A LOCALLY COMPACT GROUP [PDF]
The following remark is made by Halmos in his book [2, p. 29]. "Can an automorphism of a locally compact but noncompact group be an ergodic measure preserving transformation? Nothing is known about this subject. Only in the compact case has anything ever
M. Rajagopalan
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A note on locally compact groups [PDF]
Andrew M. Gleason
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Densities on locally compact abelian groups [PDF]
Berg, I. D., Rubel, L. A.
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The interior points of the product of two subsets of a locally compact group [PDF]
A. Beck, H. Corson, A. B. Simon
semanticscholar +2 more sources
Automorphisms of locally compact groups [PDF]
It is proved that for arbitrary locally compact groups G the automorphism group Aut (G) is a complete topological group. Several conditions equivalent to closedness of the group Int (G) of inner automorphisms are given, such as G admits no nontrivial central sequences. It is shown that Aut (G) is topologically embedded in the automorphism group Aut^(G)
Peters, J., Sund, Terje
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Pseudocompact and precompact topological subsemigroups of topological groups
It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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Lattice of Idempotent States on a Locally Compact Quantum Group [PDF]
We study lattice operations on the set of idempotent states on a locally compact quantum group corresponding to the operations of intersection of compact subgroups and forming the subgroup generated by two compact subgroups.
P. Kasprzak, P. Sołtan
semanticscholar +1 more source
Compact Subgroups of Lie Groups and Locally Compact Groups [PDF]
We show that the set of compact subgroups in a connected Lie group is inductive. In fact, a locally compact group G G has the inductivity property for compact subgroups if and only if the factor group G / G 0 G/{G_0} modulo the ...
Christian Terp, Karl H. Hofmann
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We introduce the notion of soficity for locally compact groups and list a number of open problems.
Bowen, Lewis, Burton, Peter
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Group-like projections for locally compact quantum groups [PDF]
Let $\mathbb{G}$ be a locally compact quantum group. We give a 1-1 correspondence between group-like projections in $L^\infty(\mathbb{G})$ preserved by the scaling group and idempotent states on the dual quantum group $\widehat{\mathbb{G}}$.
R. Faal, P. Kasprzak
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