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.

引用

下载

页码：259 / 271

页数：13

共 50 条

[31] HOMOLOGICAL STUDY OF PURITY IN LOCALLY COMPACT GROUPS
FULP, RO
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1970, 21 (NOV) : 502 - &
[32] Homological algebra with locally compact abelian groups
Hoffmann, Norbert
Spitzweck, Markus
ADVANCES IN MATHEMATICS, 2007, 212 (02) : 504 - 524
[33] HOMOLOGICAL STUDY OF PURITY IN LOCALLY COMPACT GROUPS
FULP, RO
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (07): : 1046 - &
[34] HOMOLOGICAL ALGEBRA IN LOCALLY COMPACT ABELIAN GROUPS
MOSKOWIT.M
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 127 (03) : 361 - &
[35] A UNIFIED APPROACH TO THE ARENS REGULARITY AND RELATED PROBLEMS FOR A CLASS OF BANACH ALGEBRAS ASSOCIATED WITH LOCALLY COMPACT GROUPS
Lau, Anthony To-Ming
Ulger, Ali
QUARTERLY JOURNAL OF MATHEMATICS, 2021, 72 (04): : 1311 - 1327
[36] FIXED POINT PROPERTIES ON BANACH SPACES ASSOCIATED TO LOCALLY COMPACT GROUPS AND RELATED GEOMETRIC PROPERTIES
Lau, Anthony To-Ming
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (01) : 127 - 139
[37] CHARACTERIZATION OF DISCRETENESS FOR LOCALLY COMPACT GROUPS IN TERMS OF BANACH ALGEBRAS AP(G)
GRANIRER, EE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) : 189 - 192
[38] A spectral theory for locally compact abelian groups of automorphisms of commutative Banach algebras
Huang, SZ
STUDIA MATHEMATICA, 1999, 132 (01) : 37 - 69
[39] On the Maximal and Minimal Left Ideals of Certain Banach Algebras on Locally Compact Groups
Maghsoudi, Saeid
Nasr-Isfahani, Rasoul
RESULTS IN MATHEMATICS, 2012, 62 (1-2) : 157 - 165
[40] On the Maximal and Minimal Left Ideals of Certain Banach Algebras on Locally Compact Groups
Saeid Maghsoudi
Rasoul Nasr-Isfahani
Results in Mathematics, 2012, 62 : 157 - 165

← 1 2 3 4 5 →