THE SECOND COHOMOLOGY GROUP OF MODULE EXTENSIONS BANACH ALGEBRAS

被引：0

作者：

Jabbari, Ali ^{[1
]}

Ebadian, Ali ^{[1
]}

机构：

[1] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 03期

关键词：

Banach algebra; 2-coboundary; 2-cocycle; cohomology; locally compact group; quasi-multiplier; WEAK AMENABILITY; DERIVATIONS; FOUNDATIONS;

D O I：

10.1216/rmj.2021.51.921

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study on the second cohomology of the module extension Banach algebra A circle plus(1) X, where A is a Banach algebra and X is a Banach A-bimodule. We characterize the defined 2-cocycles and 2-coboundaries on A circle plus(1) X and as an interesting result we show that when H-2(A, A) = 0, then H-2(A circle plus(1) A, A circle plus(1) A) = QM(A), where QM(A) is the set of quasi-multipliers on A. Also, we give some examples related to vanishing and nonvanishing of the second cohomology of various module extensions of Banach algebras.

引用

页码：921 / 932

页数：12

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