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### Electronic data

• 1511.07868v2.pd

Rights statement: https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/triviality-of-the-generalised-lau-product-associated-to-a-banach-algebra-homomorphism/9E2E28C137EF81F9292C61FD9F7A7C2B The final, definitive version of this article has been published in the Journal, Bulletin of the Australian Mathematical Society, 94, pp 286-289 2016, © 2016 Cambridge University Press.

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## Triviality of the generalized Lau product associated to a Banach algebra homomorphism

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Journal publication date 10/2016 Bulletin of the Australian Mathematical Society 94 4 286-289 Published 1/03/16 English

### Abstract

Several papers have, as their raison d'etre, the exploration of the generalized Lau product associated to a homomorphism $T:B\to A$ of Banach algebras. In this short note, we demonstrate that the generalized Lau product is isomorphic as a Banach algebra to the usual direct product $A\oplus B$. We also correct some misleading claims made about the relationship between this generalized Lau product, and an older construction of Monfared (Studia Mathematica, 2007).

### Bibliographic note

https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/triviality-of-the-generalised-lau-product-associated-to-a-banach-algebra-homomorphism/9E2E28C137EF81F9292C61FD9F7A7C2B The final, definitive version of this article has been published in the Journal, Bulletin of the Australian Mathematical Society, 94, pp 286-289 2016, © 2016 Cambridge University Press.