A note on flat noncommutative connections
Tom 98 / 2012
Banach Center Publications 98 (2012), 43-53
MSC: 58B34.
DOI: 10.4064/bc98-0-2
Streszczenie
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.
