Morita base change in quantum groupoids

Details Morita base change in quantum groupoids Morita base change in quantum groupoids

2002-04-29

arxiv.org/abs/math/0204338v1

Mathematics

Quantum Algebra

19 pages

Scientific paper

Let $L$ be a quantum semigroupoid, more precisely a $\times_R$-bialgebra in the sense of Takeuchi. We describe a procedure replacing the algebra $R$ by any Morita equivalent, or in fact more generally any $\sqrt{\text{Morita}}$ equivalent (in the sense of Takeuchi) algebra $S$ to obtain a $\times_S$-bialgebra $\widetilde H$ with the same monoidal representation category.

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