On inductive limit spectral triples

2017/12/27 by Floricel, Remus, Ghorbanpour, Asghar · 1 citation
#46L87 #FOS: Mathematics #Operator Algebras (math.OA) #Primary 58B34 #Quantum Algebra (math.QA) #Secondary 47B07

paper · doi:10.48550/arxiv.1712.09621

Abstract

Given an inductive system of spectral triples \(A_j,\H_j,D_j)\_j, we find conditions under which the triple (\limind A_j,\limind H_j,\limind 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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• Spectral Triples on a non-standard presentation of Effros-Shen AF algebras

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