On Noncommutative Principal Bundles with Finite Abelian Structure Group
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2012
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| _version_ | 1866911333547507712 |
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| author | Wagner, Stefan |
| author_facet | Wagner, Stefan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1201_1748 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | On Noncommutative Principal Bundles with Finite Abelian Structure Group Wagner, Stefan Differential Geometry 46L87, 55R10 (Primary), 37B05, 17A60 (Secondary) 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. |
| title | On Noncommutative Principal Bundles with Finite Abelian Structure Group |
| topic | Differential Geometry 46L87, 55R10 (Primary), 37B05, 17A60 (Secondary) |
| url | https://arxiv.org/abs/1201.1748 |