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arXiv · 1201.1748

On Noncommutative Principal Bundles with Finite Abelian Structure Group

Stefan Wagner
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Abstract

Let $Λ$ be a finite abelian group. A dynamical system with transformation group $Λ$ is a triple $(A,Λ,α)$, consisting of a unital locally convex algebra $A$, the finite abelian group $Λ$ and a group homomorphism $α:Λ\rightarrow\Aut(A)$, which induces an action of $Λ$ on $A$. In this paper we present a new, geometrically oriented approach to the noncommutative geometry of principal bundles with finite abelian structure group based on such dynamical systems.

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Stefan Wagner. 2015-09-09. On Noncommutative Principal Bundles with Finite Abelian Structure Group. https://doi.org/10.4171/jncg%2F175

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