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The group algebra of a locally compact group [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1947
Introduction. This paper concerns the theory of ideals in the algebra (called the group algebra) of all complex-valued functions on a locally compact (abbreviated to LC) group which are integrable with respect to Haar measure, multiplication being ...
I. E. Segal
semanticscholar   +4 more sources

Locally compact transformation groups [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1961
In ?1 of this paper it is shown that a variety of conditions implying nice behavior for topological transformation groups are, in the presence of separability, equivalent. In ?2 the continuity properties of the stability subgroups are studied. The conditions of ?1 exclude the line acting on the torus in such a way that each orbit is dense. They exclude
James Glimm
openalex   +2 more sources

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

Globalizing locally compact local groups [PDF]

open access: yesarXiv, 2010
Every locally compact local group is locally isomorphic to a topological group.
Dries, Lou van den, Goldbring, Isaac
arxiv   +3 more sources

Compactness in Wiener amalgams on locally compact groups [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
We study the compactness of bounded subsets in a Wiener amalgam whose local and global components are solid Banach function (BF) spaces on a locally compact group.
S. S. Pandey
doaj   +3 more sources

A note on locally compact groups [PDF]

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

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