Morita Equivalence and Cohomological Properties of Generalized Matrix Banach Algebras

نویسندگان
Habibian, Fereidoun ID 1
Mirzasani, Najmeh ID 2

1 Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran

2 Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

doi
10.22091/maa.2025.12986.1031
چکیده

In this article, we first establish the Morita equivalence between a generalized matrix Banach algebra and its corner algebra under certain conditions. Then, by applying this equivalence relation, we show that the Hochschild (or homology) cohomology group of a generalized matrix Banach algebra is isomorphic to the Hochschild (or homology) cohomology groups of its corner algebra.

کلیدواژه‌ها
Amenability, Morita Context, Generalized matrix Banach algebras, Cohomological properties, Morita equivalence