Continuity of multiplication in the largest compactification of a locally compact group

被引:11
|
作者
Protasov, IV [1 ]
Pym, JS
机构
[1] Kiev State Univ, Dept Cybernet, Kiev, Ukraine
[2] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England
关键词
D O I
10.1017/S0024609301007925
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
G(LUC) is the largest semigroup compactification of the locally compact group G. When G is not compact, given q is an element of G* = G(LUC)\G, there is p is an element of G* such that x bar arrow pointing right qx is discontinuous at p (Theorem 2). If G is sigma -compact, there is one p which will serve for all q (Theorem 1).
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页码:279 / 282
页数:4
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