CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Inverse Semigroups and Sheu's Groupoid for the Odd Dimensional Quantum Spheres

  Published:2012-01-03
 Printed: Sep 2013
  • S. Sundar,
    Indian Statistical Institute, Delhi, India
Format:   LaTeX   MathJax   PDF  

Abstract

In this paper, we give a different proof of the fact that the odd dimensional quantum spheres are groupoid $C^{*}$-algebras. We show that the $C^{*}$-algebra $C(S_{q}^{2\ell+1})$ is generated by an inverse semigroup $T$ of partial isometries. We show that the groupoid $\mathcal{G}_{tight}$ associated with the inverse semigroup $T$ by Exel is exactly the same as the groupoid considered by Sheu.
Keywords: inverse semigroups, groupoids, odd dimensional quantum spheres inverse semigroups, groupoids, odd dimensional quantum spheres
MSC Classifications: 46L99, 20M18 show english descriptions None of the above, but in this section
Inverse semigroups
46L99 - None of the above, but in this section
20M18 - Inverse semigroups
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/