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In this paper we show that bounded Hochschild (co)homology of associated Banach matrix algebra G(A;R; S;B) to a Morita context M(A;R; S;B; { }; [ ]) are isometric to those of the Banach algebra A: Consequently, we indicate that the n-amenability and simplicial triviality of G(A;R; S;B) are equivalent to the n-amenability and simplicial triviality of A.
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