Slawomir Klimek, Matt McBride, John Wilson Peoples, “A Note on Spectral Triples on the Quantum Disk”, SIGMA, 2019, Volume 15,043, 8 pp.

This article is cited in 1 paper

A Note on Spectral Triples on the Quantum Disk

Slawomir Klimek^a, Matt McBride^b, John Wilson Peoples^a

^a Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA
^b Department of Mathematics and Statistics, Mississippi State University, 175 President’s Cir., Mississippi State, MS 39762, USA

Abstract: By modifying the ideas from our previous paper [SIGMA 13 (2017), 075, 26 pages, arXiv:1705.04005], we construct spectral triples from implementations of covariant derivations on the quantum disk.

Keywords: invariant and covariant derivations, spectral triple, quantum disk.

MSC: 46L87, 46L89, 58B34, 58J42

Received: April 3, 2019; in final form May 24, 2019; Published online May 28, 2019

Language: English

DOI: 10.3842/SIGMA.2019.043