Results 11 to 20 of about 440,031 (362)

ERGODIC PROPERTIES OF AUTOMORPHISMS OF A LOCALLY COMPACT GROUP [PDF]

open access: bronze, 1966
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
semanticscholar   +3 more sources

A note on locally compact groups [PDF]

open access: goldBulletin of the American Mathematical Society, 1949
Andrew M. Gleason
openaire   +3 more sources

Automorphisms of locally compact groups [PDF]

open access: yesPacific Journal of Mathematics, 1978
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
openaire   +4 more sources

Pseudocompact and precompact topological subsemigroups of topological groups

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
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
doaj   +1 more source

Lattice of Idempotent States on a Locally Compact Quantum Group [PDF]

open access: yesPublications of the Research Institute for Mathematical Sciences, 2018
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]

open access: yesProceedings 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 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
openaire   +2 more sources

Locally compact sofic groups

open access: yesIsrael Journal of Mathematics, 2022
We introduce the notion of soficity for locally compact groups and list a number of open problems.
Bowen, Lewis, Burton, Peter
openaire   +2 more sources

Group-like projections for locally compact quantum groups [PDF]

open access: yesJournal of operator theory, 2017
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
semanticscholar   +1 more source

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