95 citations · 1.1k across the 75 of their papers we have counts for
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Categorical duality for Yetter-Drinfeld algebras
Sergey Neshveyev, Makoto Yamashita
We study tensor structures on (Rep G)-module categories defined by actions of a compact quantum group G on unital C*-algebras. We show that having a tensor product which defines th…
Smooth crossed products of Rieffel's deformations
Sergey Neshveyev
Assume A is a Frechet algebra equipped with a smooth isometric action of a vector group V, and consider Rieffel's deformation A_J of A. We construct an explicit isomorphism between…
Twisting the q-deformations of compact semisimple Lie groups
Sergey Neshveyev, Makoto Yamashita
Given a compact semisimple Lie group of rank , and a parameter , we can define new associativity morphisms in Rep(Gq) using a 3-cocycle on the dual of the center of…
Duality theory for nonergodic actions
Sergey Neshveyev
Generalizing work by Pinzari and Roberts, we characterize actions of a compact quantum group G on C*-algebras in terms of what we call weak unitary tensor functors from Rep G into…
Deformation of C*-algebras by cocycles on locally compact quantum groups
Sergey Neshveyev, Lars Tuset
Given a C*-algebra A with a left action of a locally compact quantum group G on it and a unitary 2-cocycle Omega on \hat G, we define a deformation A_Omega of A. The construction b…