Faithful actions of locally compact quantum groups on classical spaces

Authors

Debashish Goswami, Indian Statistical Institute, Kolkata
Sutanu Roy, National Institute of Science Education and Research

Article Type

Research Article

Publication Title

Letters in Mathematical Physics

Abstract

We construct examples of locally compact quantum groups coming from bicrossed product construction, including non-Kac ones, which can faithfully and ergodically act on connected classical (noncompact) smooth manifolds. However, none of these actions can be isometric in the sense of Goswami (Commun Math Phys 285(1):141–160, 2009), leading to the conjecture that the result obtained by Goswami and Joardar (Rigidity of action of compact quantum groups on compact, connected manifolds, 2013. arXiv:1309.1294) about nonexistence of genuine quantum isometry of classical compact connected Riemannian manifolds may hold in the noncompact case as well.

First Page

1375

Last Page

1390

DOI

10.1007/s11005-017-0951-1

Publication Date

7-1-2017

Comments

Open Access, Green

Recommended Citation

Goswami, Debashish and Roy, Sutanu, "Faithful actions of locally compact quantum groups on classical spaces" (2017). Journal Articles. 2515.
https://digitalcommons.isical.ac.in/journal-articles/2515