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.References
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Additional Information
- Remus Floricel
- Affiliation: Department of Mathematics, University of Regina, Regina, Saskatchewan, S4S 0A2 Canada
- MR Author ID: 712888
- Email: Remus.Floricel@uregina.ca
- Asghar Ghorbanpour
- Affiliation: Department of Mathematics, Western University, London, Ontario, N6A 5B7 Canada
- MR Author ID: 902793
- Email: aghorba@uwo.ca
- Received by editor(s): December 27, 2017
- Received by editor(s) in revised form: November 19, 2018
- Published electronically: April 8, 2019
- Additional Notes: The first author was partially supported by a research grant from NSERC
The second author was partially supported by a PIMS postdoctoral fellowship, held at the University of Regina. - Communicated by: Adrian Ioana
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3611-3619
- MSC (2010): Primary 58B34, 46L87; Secondary 47B07
- DOI: https://doi.org/10.1090/proc/14583
- MathSciNet review: 3981138