APPROXIMATE AMENABILITY AND A VARIANT OF CONTINUOUS HOCHSCHILD COHOMOLOGY

被引：0
|
作者：
Kawamura, Kazuhiro [1 ]
机构：
[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058071, Japan
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2019年 / 49卷 / 01期
关键词：
Approximate amenable algebra; Hochschild cohomology; OPERATOR-ALGEBRAS; GENERALIZED NOTIONS; DIAGONALS;
D O I：
10.1216/RMJ-2019-49-1-101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a variant of continuous Hochschild cohomology of a Banach algebra in connection with a higher-dimensional analogue of the approximate amenability of the algebra. Some results on higher-dimensional amenability have natural analogues in our context. Alternating cocycles, due to Johnson [18], are studied, and a previous result of the author [17] on Lipschitz algebras over compact metric spaces is improved.
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页码：101 / 127
页数：27
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