# The Fundamental Group of a Noncommutative Space

@article{vanSuijlekom2019TheFG, title={The Fundamental Group of a Noncommutative Space}, author={Walter D. van Suijlekom and Jeroen Winkel}, journal={Algebras and Representation Theory}, year={2019}, volume={25}, pages={1003-1035} }

We introduce and analyse a general notion of fundamental group for noncommutative spaces, described by differential graded algebras. For this we consider connections on finitely generated projective bimodules over differential graded algebras and show that the category of flat connections on such modules forms a Tannakian category. As such this category can be realised as the category of representations of an affine group scheme G , which in the classical case is (the pro-algebraic completion…

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