Right cancellation in the LUC-compactification of a locally compact group

被引:18
|
作者
Filali, M [1 ]
Pym, JS
机构
[1] Univ Oulu, Dept Math Sci, Oulu 90014, Finland
[2] Univ Sheffield, Sch Math & Stat, Sheffield S3 7RH, S Yorkshire, England
关键词
D O I
10.1112/S0024609302001649
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Write G* G(LUC) where G(LUC) is the largest semigroup compactification of the locally compact group G. Then the set of points of G* which are right cancellable in G(LUC) is large; in fact it has an interior in G* which is dense in G*. Corollaries are given about the number of left ideals in G(LUC) and the size of right ideals in the algebra LUC(G)*.
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页码:128 / 134
页数:7
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