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

Published 15 Jan 2019 in math.OA, math-ph, and math.MP | (1901.04794v1)

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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