$C(S{O}_q(4)/S{O}_q(2))$ as a Groupoid $C^{\ast }$-algebra

Shreema Subhash Bhatt, Vinay Deshpande, Bipul Saurabh

In this paper, we prove that $C(S{O}_q(4)/S{O}_q(2))$ is isomorphic to the $C^{\ast }$-algebra of the tight groupoid ${\mathcal{G}}_{\mathrm{tight}}$ associated with the inverse semigroup gene…