95 citations · 1.1k across the 75 of their papers we have counts for
6 papers · 2 filters
The variational principle for a class of asymptotically abelian C*-algebras
Sergey Neshveyev, Erling Stormer
Let (A,α) be a C*-dynamical system. We introduce the notion of pressure P_α(H) of the automorphism αat a self-adjoint operator H\in A. Then we consider the class of AF-systems sati…
Ergodicity of the action of the positive rationals on the group of finite adeles and the Bost-Connes phase transition theorem
Sergey Neshveyev
For each β\in(0,+\infty) there exists a canonical measure μ_βon the ring A_f of finite adeles. We show that the positive rationals act ergodically on (A_f,μ_β) for β\in(0,1], and t…
Entropy of automorphisms of II_1-factors arising from the dynamical systems theory
Valentin Golodets, Sergey Neshveyev
Let a countable amenable group G acts freely and ergodically on a Lebesgue space (X,mu), preserving the measure mu. If T is an automorphism of the equivalence relation defined by G…
Entropy in type I algebras
Sergey Neshveyev, Erling Stormer
It is shown that if (M,phi,alpha) is a W*-dynamical system with M a type I von Neumann algebra then the entropy of alpha w.r.t. phi equals the entropy of the restriction of alpha t…
On the K-property of quantized Arnold cat maps
Sergey Neshveyev
We prove that some quantized Arnold cat maps are entropic K-systems. This result was formulated by H. Narnhofer[1], but the fact that the optimal decomposition for the multi-channe…
Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states
Sergey Neshveyev
We compute the dynamical entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to arbitrary gauge-invariant quasi-free states. This completes the research starte…