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.

引用

页码：101 / 127

页数：27

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