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We prove the analogue of Weyl's law for a noncommutative Riemannian manifold, namely the noncommutative two torus $\mathbb{T}_\theta^2$ equipped with a general translation invariant conformal structure and a Weyl conformal factor.
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A. Connes and P. Tretkoff, The Gauss-Bonnet theorem for the noncommutative two torus
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Closest in time.
F. Fathizadeh and M. W. Wong, Noncommutative residues for pseudo-differential operators on the noncommutative two-torus
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Closest in time.
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