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arXiv · 1901.04794

Scalar Curvature of a Levi-Civita Connection on Cuntz algebra with three generators

Soumalya Joardar
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Abstract

A differential calculus on Cuntz algebra with three generators coming from the action of rotation group in three dimensions is introduced. The differential calculus is shown to satisfy Assumptions I-IV of [1] so that Levi-Civita Connection exists uniquely for any pseudo-Riemannian metric in the sense of [1]. Scalar curvature is computed for the Levi-Civita connection corresponding to the canonical bilinear metric.

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BibTeXRIS

Soumalya Joardar. 2019-01-15. Scalar Curvature of a Levi-Civita Connection on Cuntz algebra with three generators. https://doi.org/10.1007/s11005-019-01202-x

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