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arXiv · 1505.01232

Representations of twisted tensor products

Jack Arce
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Abstract

We obtain a faithful representation of the twisted tensor product $B\otimes_{\chi} A$ of unital associative algebras, when $B$ is finite dimensional. This generalizes the representations of [C] where $B=K[X]/ $, [GGV] where $B=K[X]/ $ and [JLNS] where $B=K^n$. Furthermore, we establish conditions to extend twisted tensor products $B\otimes_{\chi} A$ and $C\otimes_{\psi} A$ to a twisted tensor product $(B\times C) \otimes_{\varphi} A$.

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Jack Arce. 2015-05-06. Representations of twisted tensor products. https://arxiv.org/abs/1505.01232

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