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(Co)homology of a Generalized Matrix Banach Algebra

Maryam Akbari|Fereidoun Habibian
한국수학교육학회|2023.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제30권 제1호|pp. 15-24|DOI https://doi.org/10.7468/jksmeb.2023.30.1.15

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참고문헌

키워드

Banach algebrahomologycohomologyMorita equivalence
주제분류수학

초록

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.

Abstract

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.

참고문헌 (19)

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