‎Bounded approximate connes-amenability of dual Banach algebras

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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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Journal title

volume 41  issue 1

pages  227- 238

publication date 2015-02-01

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