Hawkins, A. and Zacharias, J. (2017) Spectral metric spaces on extensions of C*-algebras. Communications in Mathematical Physics, 350(2), pp. 475-506. (doi: 10.1007/s00220-016-2820-7)
|
Text
132532.pdf - Published Version Available under License Creative Commons Attribution. 697kB |
Abstract
We construct spectral triples on C*-algebraic extensions of unital C*-algebras by stable ideals satisfying a certain Toeplitz type property using given spectral triples on the quotient and ideal. Our construction behaves well with respect to summability and produces new spectral quantum metric spaces out of given ones. Using our construction we find new spectral triples on the quantum 2- and 3-spheres giving a new perspective on these algebras in noncommutative geometry.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Zacharias, Professor Joachim |
| Authors: | Hawkins, A., and Zacharias, J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Communications in Mathematical Physics |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| ISSN (Online): | 1432-0916 |
| Published Online: | 01 February 2017 |
| Copyright Holders: | Copyright © 2017 The Authors |
| First Published: | First published in Communications in Mathematical Physics 350(2):475-4-506 |
| Publisher Policy: | Reproduced under a Creative Commons License |
| Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record
Funder and Project Information
Funder and Project Information