61 citations · 438 across the 47 of their papers we have counts for
52 papers
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…
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…
Finiteness of metrics on state spaces
David Kyed, Ryszard Nest
We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple ex…
Exotic cyclic cohomology classes and Lipschitz algebras
Magnus Goffeng, Ryszard Nest
We study the noncommutative geometry of algebras of Lipschitz continuous and Hölder continuous functions where non-classical and novel differential geometric invariants arise. Inde…
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…
A higher Kac-Moody extension for two-dimensional gauge groups
Jens Kaad, Ryszard Nest, Jesse Wolfson
Let be a finite dimensional Lie group and consider the smooth double loop group, i.e. the Fréchet Lie group of smooth maps from the 2-torus to . For a finite dimensional Hil…