On inductive limit spectral triples

Floricel, Remus; Ghorbanpour, Asghar

doi:10.1090/proc/14583

On inductive limit spectral triples
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by Remus Floricel and Asghar Ghorbanpour PDF

Proc. Amer. Math. Soc. 147 (2019), 3611-3619 Request permission

Abstract:

Given an inductive system of spectral triples $\{(A_j,\mathcal {H}_j,D_j)\}_j$, we find conditions under which the triple $(\underset {\longrightarrow }{\lim } A_j,\underset {\longrightarrow }{\lim } H_j,\underset {\longrightarrow }{\lim } D_j)$ is a spectral triple. We also analyze and describe some classical examples of spectral triples in terms of these conditions.

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