A+ CATEGORY SCIENTIFIC UNIT

A note on flat noncommutative connections

Volume 98 / 2012

Tomasz Brzeziński Banach Center Publications 98 (2012), 43-53 MSC: 58B34. DOI: 10.4064/bc98-0-2

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.

Authors

  • Tomasz BrzezińskiDepartment of Mathematics
    Swansea University
    Singleton Park
    Swansea SA2 8PP, U.K.
    e-mail

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