On inductive limit spectral triples
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- arXiv:
- arXiv:1712.09621
- Bibcode:
- 2017arXiv171209621F
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Operator Algebras;
- Primary 58B34;
- Secondary 47B07;
- 46L87
- E-Print:
- 10 pages