‎Bounded approximate connes-amenability of dual Banach algebras

Document Type : Research Paper

Author

Islamic Azad University, Central Tehran Branch

Abstract

 We study the notion of bounded approximate Connes-amenability for‎
‎dual Banach algebras and characterize this type of algebras in terms‎
‎of approximate diagonals‎. ‎We show that bounded approximate‎
‎Connes-amenability of dual Banach algebras forces them to be unital‎.
‎For a separable dual Banach algebra‎, ‎we prove that bounded‎
‎approximate Connes-amenability implies sequential approximate‎
‎Connes-amenability‎.‎

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Main Subjects