3 papers
math.QA2025
Quantization of the Momentum Map via -adapted Formalities
Chiara Esposito, Ryszard Nest, Jonas Schnitzer +1
In this note, we provide a proof of the existence and complete classification of -invariant star products with quantum momentum maps on Poisson manifolds by means of an equivari…
math.OA2025
A secondary index for non-Fredholm operators associated with quantum walks
Toshikazu Natsume, Ryszard Nest
We study an analogue of chirality operators associated with quantum walks on the binary tree. For those operators we introduce a K-theoretic invariant, an analogue of the index of…
math.OA2024
Projective representation theory for compact quantum groups and the quantum Baum-Connes assembly map
Kenny De Commer, Rubén Martos, Ryszard Nest
We study the theory of projective representations for a compact quantum group , i.e. actions of on for some Hilbert space . We show tha…