Publication list

Published papers and preprints

  1. A remark on the spectrum of the analytic generator. Rep. Math. Phys. 48 no. 3 (2001), 407-414.
  2. A remark on manageable multiplicative unitaries. Joint work with S.L. Woronowicz, Lett. Math. Phys. 57 (2001), 239-252.
  3. Functional form of unitary representations of the quantum "az+b" group. Joint work with W. Pusz, Rep. Math. Phys. 52 no. 2 (2003), 309-319.
  4. Compactifications of discrete quantum groups. Preprint of Institute of Mathematics of University of Münster, Alg. Rep. Th. 9 no. 6 (2006), 581-591.
  5. A note on multipliers of discrete quantum groups. Preprint of Institute of Mathematics of University of Münster.
  6. New quantum "az+b" groups. Rev. Math. Phys. 17 no. 3 (2005), 313-364.
  7. Quantum Bohr compactification of discrete quantum groups. Preprint of Institute of Mathematics of University of Münster.
  8. Analysis on a homogeneous space of a quantum group. Joint work with W. Pusz, Preprint of Department of Mathematical Methods in Physics.
  9. Quantum Bohr compactification. Ill. J. Math. 49 (4) (2005), 1245-1270.
  10. Quantum families of maps and quantum semigroups on finite quantum spaces. Preprint of Department of Mathematical Methods in Physics. Accepted to Journal of Geometry and Physics.
  11. From multiplicative unitaries to quantum groups II. Joint work with S.L. Woronowicz, J. Funct. Anal. 252 (1) (2007), 42-67.
  12. On some low dimensional quantum groups. Joint work with W. Pusz, chapter of a monograph to be published by European Mathematical Society Publishing House.
  13. Examples of quantum commutants. Accepted to "Interactions of Algebraic & Coalgebraic Structures (Theory and Applications)", Arabian Journal for Science and Engeneering.
  14. Quantum SO(3) groups and quantum group actions on M2 Preprint of Department of Mathematical Methods in Physics.
  15. On quantum semigroup actions on finite quantum spaces Prepreint of Department of Mathematical Methods in Physics.

Notes in English

  1. A survey of quantum "az+b" groups.
  2. C*-algebras, group actions and crossed products (lecture notes).
  3. Affine isometric actions on Hilbert spaces and amenability.
  4. Amenability and exactness for group actions and operator algebras.

Notes in Polish

  1. Geometryczna teoria grup (Geometric group theory).
  2. Minimalne działanie grupy SUq(N) na pełnym faktorze - notatki z pracy Y. Uedy (Minimal action of the SUq(N) group on a full factor after Y. Ueda).
  3. Twierdzenie Kreina-Smuliana (The Krein-Smulian theorem).
P.M.S.