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A note on flat noncommutative connections

Authors
  • Brzeziński, Tomasz
Type
Preprint
Publication Date
Oct 13, 2011
Submission Date
Sep 05, 2011
Identifiers
arXiv ID: 1109.0858
Source
arXiv
License
Yellow
External links

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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