Ideal Connes-Amenability of Dual Banach Algebras

被引：9

作者：

Minapoor, Ahmad ^{[1
]}

Bodaghi, Abasalt ^{[2
]}

Bagha, Davood Ebrahimi ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Garmsar Branch, Garmsar, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 04期

关键词：

Dual Banach algebra; Connes-amenability; ideal amenability; WEAK AMENABILITY; VIRTUAL DIAGONALS; DERIVATIONS;

D O I：

10.1007/s00009-017-0970-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following Runde, we define the concept of ideal Connes-amenability for dual Banach algebras. For an Arens regular dual Banach algebra A, we prove that the ideal Connes-amenability of A**, the second dual of A necessities ideal Connes-amenability of A. As a typical example, we show that von Neumann algebras are always ideally Connes-amenable. For a locally compact group G, the Fourier-Stieltjes algebra of G is ideally Connes-amenable, but not ideally amenable.

引用

页数：12

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