Amenability and Substantial Semigroups
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 231-234
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In this paper, we introduce the concept of topological left substantial subsemigroup of a locally compact semigroup S and prove that if T is such a subsemigroup in S and M(T) is the measure algebra of T, then M(T)* is topological left amenable iff M(S)* is topological left amenable, an extension of a similar result for discrete semigroups.
Mots-clés :
22.05, 22.2, 42.5, 42.56, Locally compact semigroups, Measure algebras, Topological left invariant means, Left substantial semigroups, Left ideals
Wong, James C. S. Amenability and Substantial Semigroups. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 231-234. doi: 10.4153/CMB-1976-036-7
@article{10_4153_CMB_1976_036_7,
author = {Wong, James C. S.},
title = {Amenability and {Substantial} {Semigroups}},
journal = {Canadian mathematical bulletin},
pages = {231--234},
year = {1976},
volume = {19},
number = {2},
doi = {10.4153/CMB-1976-036-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-036-7/}
}
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