Cuntz algebras and dynamical quantum group SU(2)

In [6, 7] G. Felder introduces a new area in the theory of quantum groups, the so-called theory of dynamical quantum groups. This theory assigns dynamical analogues to various objects related to ordinary Lie algebras and quantum groups, i.e. Hopf algebras, R-matrices, twists, etc. In this paper we study coactions of the dynamical quantum group SU(2) on the N + 1-dimensional representation for the trigonometric dynamical R-matrix. A comodule algebra arising from these coactions turns out to be a dynamical analogue of the Cuntz algebra.