A note on flat noncommutative connections

Details A note on flat noncommutative connections A note on flat noncommutative connections

2011-09-05

arxiv.org/abs/1109.0858v2

Mathematics

Quantum Algebra

10 pages; v2 typos corrected and references added

Scientific paper

It is proven that every flat connection or covariant derivative $\nabla$ on a
left $A$-module $M$ (with respect to the universal differential calculus)
induces a right $A$-module structure on $M$ so that $\nabla$ is a bimodule
connection on $M$ or $M$ is a flat differentiable bimodule. Similarly a flat
hom-connection on a right $A$-module $M$ induces a compatible left $A$-action.

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