Abstract
Using Morita equivalence, we show that bounded Hochschild (co)-homology of \(\ell ^1\)-Munn Banach algebras are isomorphic to those of the underlying Banach algebra A when the related sandwich matrix is invertible over Inv(A). We finally apply our result to semigroup algebras.
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Acknowledgements
The authors are grateful to the referee for a carefully reading of the paper and useful comments. Fereidoun Habibian and Najmeh Mirzasani thank the University of Semnan for its support, and Rasoul Nasr-Isfahani acknowledges a partially support provided by the Center of Excellence for Harmonic Analysis at the Isfahan University of Technology.
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Habibian, F., Mirzasani, N. & Nasr-Isfahani, R. Homological properties of \(\ell ^1\)-Munn Banach algebras. RACSAM 115, 62 (2021). https://doi.org/10.1007/s13398-020-00990-5
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DOI: https://doi.org/10.1007/s13398-020-00990-5