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Research papers

1. Quantum Markov K-systems, Mat. Fiz. Anal. Geom. 5 (1998), 87-94 (in Russian).

2. Non-Bernoullian quantum K-systems, Comm. Math. Phys. 195 (1998), 213-232 (joint with V.Ya. Golodets). [pdf]

3. Gibbs states for AF algebras, J. Math. Phys. 39 (1998), 6329-6344 (joint with V.Ya. Golodets). [pdf]

4. On the K-property of quantized Arnold cat maps, J. Math. Phys. 41 (2000), 1961-1965. [pdf]

5. The variational principle for a class of asymptotically abelian C*-algebras, Comm. Math. Phys. 215 (2000), 177-196 (joint with E. Størmer). [pdf]

6. Dynamical entropy for Bogoliubov actions of torsion-free abelian groups on the CAR-algebra, Ergod. Th. & Dynam. Sys. 20 (2000), 1111-1125 (joint with V.Ya. Golodets). [pdf]

7. Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states, Rev. Math. Phys. 13 (2001), 29-50. [pdf]

8. Entropy of automorphisms of II1-factors arising from the dynamical systems theory, J. Func. Anal. 181 (2001), 14-28 (joint with V.Ya. Golodets). [pdf]

9. Entropy in type I algebras, Pacific J. Math. 201 (2001), 421-428 (joint with E. Størmer). [pdf]

10. Ergodicity of the action of the positive rationals on the group of finite adeles and the Bost-Connes phase transition theorem, Proc. Amer. Math. Soc. 130 (2002), 2999-3003. [pdf]

11. The McMillan theorem for a class of asymptotically abelian C*-algebras, Ergod. Th. & Dynam. Sys. 22 (2002), 889-897 (joint with E. Størmer). [pdf]

12. Ergodic theory and maximal abelian subalgebras of the hyperfinite factor, J. Func. Anal. 195 (2002), 239-261 (joint with E. Størmer). [pdf]

13. The Martin boundary of a discrete quantum group, J. Reine Angew. Math. 568 (2004), 23-70 (joint with L. Tuset). [pdf]

14. Hopf algebra equivariant cyclic cohomology, K-theory and index formulas, K-Theory 31 (2004), 357-378 (joint with L. Tuset). [pdf]

15. KMS states of quasi-free dynamics on Pimsner algebras, J. Funct. Anal. 211 (2004), 457-482 (joint with M. Laca). [pdf]

16. A local index formula for the quantum sphere, Comm. Math. Phys. 254 (2005), 323-341 (joint with L. Tuset). [pdf]

17. Poisson boundary of the dual of SUq(n), Comm. Math. Phys. 262 (2006), 505-531 (joint with M. Izumi and L. Tuset). [pdf]

18. Phase transition in the Connes-Marcolli GL2-system, J. Noncommut. Geom. 1 (2007), 397-430 (joint with M. Laca and N.S. Larsen). [pdf]

19. Hecke algebras of semidirect products and the finite part of the Connes-Marcolli C*-algebra, Adv. in Math. 217 (2008), 449-488 (joint with M. Laca and N.S. Larsen). [pdf]

20. The ratio set of the harmonic measure of a random walk on a hyperbolic group, Israel J. Math. 163 (2008), 285-316 (joint with M. Izumi and R. Okayasu). [pdf]

21. On Bost-Connes type systems for number fields, J. Number Theory 129 (2009), 325-338 (joint with M. Laca and N.S. Larsen). [pdf]

22. On the definition of L2-Betti numbers of equivalence relations, Internat. J. Algebra Comput. 19 (2009), 383--396 (joint with S. Rustad). [pdf]

23. The Dirac operator on compact quantum groups, preprint 2007 (joint with L. Tuset). [pdf]

24. Twisted cyclic theory, equivariant KK theory and KMS states, preprint 2008 (joint with A.L. Carey, R. Nest and A. Rennie). [pdf]

25. Symmetric invariant cocycles on the duals of q-deformations, preprint 2009 (joint with L. Tuset). [pdf]

26. Von Neumann algebras arising from Bost-Connes type systems, preprint 2009. [pdf]

Announcements, proceedings, etc.

1. Non-isomorphic quantum K-systems of type III1, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 10 (1998), 12-15 (joint with V.Ya. Golodets).

2. Dynamical entropy and quantum K-systems, International Symposium on Mathematical and Theoretical Physics (Kyiv, 1997), Ukrain. Fiz. Zh. 43 (1998), 688-696 (joint with V.Ya. Golodets).

3. Maximal abelian subalgebras of the hyperfinite factor, entropy and ergodic theory, Proceedings of International Workshop on Operator Algebras and Operator Theory (Shanxi, 2001), Acta Math. Sin. (Engl. Ser.) 19 (2003), 599-604 (joint with E. Størmer). [pdf]

4. Quantum random walks and their boundaries, Analysis of (Quantum) Group Actions on Operator Algebras (Kyoto, 2003), RIMS Kokyuroku 1332 (2003), 57-70 (joint with L. Tuset). [pdf]

5. Noncommutative boundaries of q-deformations, Recent Developments on Classification Problems in Operator Algebras (Kyoto, 2005), RIMS Kokyuroku 1435 (2005), 44-52. [pdf]

6. Operator Algebras. The Abel Symposium 2004. Proceedings of the First Abel Symposium, Oslo, September 3-5, 2004, Abel Symposia , Vol. 1, Springer, 2006 (editor, joint with O. Bratteli and C. Skau).

7. Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld category and the category of Uq(g)-modules, preprint 2007 (joint with L. Tuset). [pdf]

8. Quantizations of Poisson Lie groups as noncommutative manifolds, preprint 2009, to appear in Proceedings of ICMP 2009 (joint with L. Tuset). [pdf]

Last modified: 10.10.2009
Book
Dynamical Entropy
S. Neshveyev, E. Størmer. Dynamical Entropy in Operator Algebras. A Series of Modern Surveys in Mathematics, Vol. 50. Springer, 2006.