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Noncommutative Differential Forms

Chapter
Part of the Lecture Notes in Physics book series (LNPMGR, volume 51)

Abstract

We shall now describe how to construct a differential algebra of forms out of a spectral triple \( \left( {\mathcal{A},\mathcal{H},D} \right) \). It turns out to be useful to first introduce a universal graded differential algebra which is associated with any algebra \( \mathcal{A} \).

Keywords

Orthogonal Complement Trace State Leibniz Rule Differential Algebra Exterior Algebra 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

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