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math.QA2020★ 54 cited
Spectral truncations in noncommutative geometry and operator systems
Alain Connes, Walter D. van Suijlekom
In this paper we extend the traditional framework of noncommutative geometry in order to deal with spectral truncations of geometric spaces (i.e. imposing an ultraviolet cutoff in…
math.QA2019
The fundamental group of a noncommutative space
Walter D. van Suijlekom, Jeroen Winkel
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 ge…