English

On inductive limit spectral triples

Quantum Algebra 2017-12-29 v1 Operator Algebras

Abstract

Given an inductive system of spectral triples \{(A_j,\H_j,D_j)\}_j, we find conditions under which the triple (\limindAj,\limindHj,\limindDj)(\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.

Cite

@article{arxiv.1712.09621,
  title  = {On inductive limit spectral triples},
  author = {Remus Floricel and Asghar Ghorbanpour},
  journal= {arXiv preprint arXiv:1712.09621},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-22T23:30:17.329Z