SOME HOMOLOGICAL PROPERTIES OF BANACH ALGEBRAS ASSOCIATED WITH LOCALLY COMPACT GROUPS

被引：3
|
作者：
Nemati, Mehdi [1 ,2 ]
机构：
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
来源：
COLLOQUIUM MATHEMATICUM | 2015年 / 139卷 / 02期
关键词：
approximately biflat; approximately biprojective; character biflat; character biprojective; Segal algebra; CHARACTER AMENABILITY; PSEUDO-AMENABILITY; SEGAL ALGEBRAS; CONTRACTIBILITY; IDEALS;
D O I：
10.4064/cm139-2-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.
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页码：259 / 271
页数：13
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