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arXiv · 1109.0858

A note on flat noncommutative connections

Tomasz Brzeziński
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Abstract

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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Tomasz Brzeziński. 2011-09-05. A note on flat noncommutative connections. https://arxiv.org/abs/1109.0858

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