95 citations · 1.1k across the 75 of their papers we have counts for
4 papers · 1 filter
Bost-Connes systems associated with function fields
Sergey Neshveyev, Simen Rustad
With a global function field K with constant field F_q, a finite set S of primes in K and an abelian extension L of K, finite or infinite, we associate a C*-dynamical system. The s…
KMS states on the C*-algebras of non-principal groupoids
Sergey Neshveyev
We describe KMS-states on the C*-algebras of etale groupoids in terms of measurable fields of traces on the C*-algebras of the isotropy groups. We use this description to analyze t…
Quantized algebras of functions on homogeneous spaces with Poisson stabilizers
Sergey Neshveyev, Lars Tuset
Let G be a simply connected semisimple compact Lie group with standard Poisson structure, K a closed Poisson-Lie subgroup, 0<q<1. We study a quantization C(G_q/K_q) of the algebra…
K-homology class of the Dirac operator on a compact quantum group
Sergey Neshveyev, Lars Tuset
By a result of Nagy, the C*-algebra of continuous functions on the q-deformation G_q of a simply connected semisimple compact Lie group G is KK-equivalent to C(G). We show that und…