Module Connes amenability of hypergroup measure algebras
نویسندگان
چکیده
منابع مشابه
$varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS
In this paper we define $varphi$-Connes module amenability of a dual Banach algebra $mathcal{A}$ where $varphi$ is a bounded $w_{k^*}$-module homomorphism from $mathcal{A}$ to $mathcal{A}$. We are mainly concerned with the study of $varphi$-module normal virtual diagonals. We show that if $S$ is a weakly cancellative inverse semigroup with subsemigroup $E$ of idemp...
متن کاملSymmetric module and Connes amenability
In this paper we introduce two symmetric variants of amenability, symmetric module amenability and symmetric Connes amenability. We determine symmetric module amenability and symmetric Connes amenability of some concrete Banach algebras. Indeed, it is shown that $ell^1(S)$ is a symmetric $ell^1(E)$-module amenable if and only if $S$ is amenable, where $S$ is an inverse semigroup with subsemigr...
متن کامل$sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras
In this paper, pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.
متن کاملConnes-amenability and normal, virtual diagonals for measure algebras, II
We prove that the following are equivalent for a locally compact group G: (i) G is amenable; (ii) M(G) is Connes-amenable; (iii) M(G) has a normal, virtual diagonal.
متن کاملConnes-amenability and normal, virtual diagonals for measure algebras
We prove that the measure algebra M(G) of a locally compact group G is Connesamenable if and only if G is amenable.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Open Mathematics
سال: 2015
ISSN: 2391-5455
DOI: 10.1515/math-2015-0070