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On inductive limit spectral triples
Remus Floricel, Asghar Ghorbanpour
Source abstract
Given an inductive system of spectral triples { ( A j , H j , D j ) } j \{(A_j,\mathcal {H}_j,D_j)\}_j , we find conditions under which the triple ( lim ⟶ A j , lim ⟶ H j , lim ⟶ D j ) (\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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