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arXiv · hep-th/9311121

Differential Algebras in Non-Commutative Geometry

W. Kalau·N. A. Papadopoulos·J. Plass·J. -M. Warzecha
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Abstract

We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra. For that we derive a general formula for differential algebras based on tensor products of algebras. The result is used to characterize differential algebras which appear in models with one symmetry breaking scale.

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W. Kalau, N. A. Papadopoulos, J. Plass, J. -M. Warzecha. 1993-11-29. Differential Algebras in Non-Commutative Geometry. https://doi.org/10.1016/0393-0440(94)00025-y

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