arXiv subjects

Jitender Sharma

Publications and source records attributed to Jitender Sharma.

2 recordsLinked to original sources

arXiv2024

Isometric actions of compact quantum groups on graph C*-algebras

For a strongly connected directed graph $\Lambda$, it is shown that the quantum automorphism group of $\Lambda$ acts isometrically in the sense of D. Goswami et al. on the spectral triple $(C^{\ast}(\Lambda), L^{2}(\Lambda^{\infty},M),D)$ constructed by Farsi et al.. It is also shown that the natural action of $U_{n}^{+}$ is not isometric on the Cuntz algebra $\mathcal{O}_{n}$.

math.OA↗

arXiv2023

Quantum isomorphism of $2$-graphs

We formulate a notion of the quantum automorphism group of a $2$-graph. After some preliminary computations, we define quantum isomorphism between a pair of $2$-graphs. We produce a `non-trivial' example of a pair of $2$-graphs that are not quantum isomorphic to each other.

math.OA↗