(Co)homology of a Generalized Matrix Banach Algebra

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2023, v.30 no.1, pp.15-24

https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.15

M. Akbari (Faculty of Mathematics, Statistics and Computer Science, Semnan University)
F. Habibian (Faculty of Mathematics, Statistics and Computer Science, Semnan University)

M. Akbari, & F. Habibian. (2023). (CO)HOMOLOGY OF A GENERALIZED MATRIX BANACH ALGEBRA. 한국수학교육학회지시리즈B:순수및응용수학, 30(1), 15-24, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.15

복사

Abstract

In this paper, we show that bounded Hochschild homology and cohomology of associated matrix Banach algebra 𝔊(𝔄, R, S, 𝔅) to a Morita context 𝔐(𝔄, R, S, 𝔅, { }, [ ]) are isomorphic 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.

keywords: Banach algebra, cohomology, homology, Morita equivalence

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논문 상세

Vol.30 No.1

(CO)HOMOLOGY OF A GENERALIZED MATRIX BANACH ALGEBRA

(Co)homology of a Generalized Matrix Banach Algebra

Abstract

한국수학교육학회지시리즈B:순수및응용수학