P.M. Sołtan

Prace opublikowane

  1. W. Paupa & P.M. Sołtan: Invariants of the quantum graph of the partial trace. Open Systems and Information Dynamics 31 (2024), 2450019-1–2450019-1.
  2. J. Krajczok & P.M. Sołtan: Examples of compact quantum groups with \(\mathsf{L}^{\!\infty}(\mathbb{G})\) a factor. J. Funct. Anal. 286 (2024), 110297-1–110297–57.
  3. A. Chirvasitu, J. Krajczok & P.M. Sołtan: Compact quantum group structures on type-I C*-algebras. J. Noncommut. Geom., 17 (2023) 1129–1143.
  4. A. Bochniak, P. Kasprzak & P.M. Sołtan: Quantum correlations on quantum spaces. Int. Math. Res. Not. 2023 (2023), 12400-1–12440-41.
  5. J. Krajczok & P.M. Sołtan: The quantum disk is not a quantum group J. Top. Anal. 15 (2023), 401–411.
  6. P.M. Sołtan: Mathematics and physics of sound and music Atti dell'Accademia Polacca VIII (2020), 7–15.
  7. P. Kasprzak & P.M. Sołtan: Quantum groups with projection and extensions of locally compact quantum groups. J. Noncommut. Geom. 14 (2020), 105–123.
  8. M. Kalantar, P. Kasprzak, A. Skalski & P.M. Sołtan: Induction for locally compact quantum groups revisited. Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), 1071–1093.
  9. P. Kasprzak & P.M. Sołtan: The Lattice of Idempotent States on a Locally Compact Quantum Group. Publ. Res. Inst. Math. Sci. 56 (2020), 33–53.
  10. P.M. Sołtan: Podleś Spheres for the Braided Quantum \(\operatorname{SU}(2)\). Linear Algebra Appl. 591 (2020), 169–204.
  11. P. Kasprzak, F. Khosravi & P.M. Sołtan: Kawada-Itô-Kelley Theorem for Quantum Semigroups. J. Math. Anal. Appl. 483 (2019), 123594-1–123594-15.
  12. P.M. Sołtan: Normal idempotent states on a locally compact quantum group. Mathematisches Forschungsinstitut Oberwolfach Report 22 (2018) 1364–1367.
  13. P.M. Sołtan: Quantum Semigroups from Synchronous Games. J. Math. Phys. 60 (2019) 042203-1–042203-8.
  14. J. Krajczok & P.M. Sołtan: Compact quantum groups with representations of bounded degree. J. Operator Th. 80 (2018), 415–428.
  15. K. De Commer, P. Kasprzak, A. Skalski & P.M. Sołtan: Quantum actions on discrete quantum spaces and a generalization of Clifford's theory of representations. Israel J. Math. 226 (2018), 475–503.
  16. P. Kasprzak, F. Khosravi & P.M. Sołtan: Integrable actions and quantum subgroups. Int. Math. Res. Not. 2018 (2017), 3224–3254.
  17. P. Józiak, P. Kasprzak & P.M. Sołtan: Hopf images in locally compact quantum groups. J. Math. Anal. Appl. 445 (2017), 141–166.
  18. P. Kasprzak, A. Skalski & P.M. Sołtan: The canonical central exact sequence for locally compact quantum groups. Math. Nachr. 290, No. 8–9, (2017) 1303–1316.
  19. U. Franz, A. Skalski & P.M. Sołtan: Introduction to compact and discrete quantum groups. Banach Center Publications 111 (2017), U. Franz, A. Skalski, P.M. Sołtan eds., 9–31.
  20. J. Krajczok & P.M. Sołtan: Center of the algebra of functions on the quantum group \(\mathrm{SU}_q(2)\) and related topics. Comment. Math. 56 (2016), 251–272.
  21. A. Skalski & P.M. Sołtan: Quantum families of invertible maps and related problems. Canad. J. Math. 68 (2016), 698–720.
  22. P. Kasprzak & P.M. Sołtan: Quantum groups with projection on von Neumann algebra level. J. Math. Anal. Appl. 427 (2015), 289–306.
  23. P. Kasprzak, P.M. Sołtan & S.L. Woronowicz: Quantum automorphism groups of finite quantum groups are classical. J. Geom. Phys. 89 (2015), 32–37.
  24. J. Bhowmick, A. Skalski & P.M. Sołtan: Quantum group of automorphisms of a finite (quantum) group. J. Algebra 423 (2015), 514–537.
  25. A. Skalski & P.M. Sołtan: Projective limits of quantum symmetry groups and the doubling construction for Hopf algebras. Infin. Dimens. Anal. Quantum. Probab. Relat. Top. 17 (2014), 1450012-1–1450012-27.
  26. P. Kasprzak & P.M. Sołtan: Embeddable quantum homogeneous spaces. J. Math. Anal. Appl. 411 (2014), 574–591.
  27. P.M. Sołtan & A. Viselter: A note on amenability of locally compact quantum groups. Canad. Math. Bull. 57 (2014), no. 2, 424–430.
  28. P.M. Sołtan: On quantum maps into quantum semigroups. Houston J. Math. 40, No. 3 (2014), 779–790.
  29. P.M. Sołtan: Quantum families of maps. The 15th International Workshop for Young Mathematicians "Functional Analysis", Uniwersytet Jagielloński, Kraków 2013, strony 107–122.
  30. M. Daws, P. Kasprzak, A. Skalski & P.M. Sołtan: Closed quantum subgroups of locally compact quantum groups. Adv. Math. 231 (2012), 3473–3501.
  31. T. Banica, A. Skalski & P.M. Sołtan: Noncommutative homogeneous spaces: the matrix case. J. Geom. Phys. 62 (2012), 1451–1466.
  32. J. Liszka-Dalecki & P.M. Sołtan: Quantum isometry groups of symmetric groups. Int. J. Math. 23 vol. 7 (2012), 1250074-1–1250074-25.
  33. D. Kyed & P.M. Sołtan: Property (T) and exotic quantum group norms. J. Noncommut. Geom. 6 (2012), 773–800.
  34. P.M. Sołtan: On actions of compact quantum groups. Illinois J. Math. 55 no. 3 (2011), 953–962.
  35. P.M. Sołtan: Examples of non-compact quantum group actions. J. Math. Anal. Appl. 372 (2010), 224–236.
  36. P.M. Sołtan: When is a quantum space not a group?. Banach Algebras 2009, Banach Center Publications 91 (2010), R.J. Loy, V. Runde, A. Sołtysiak eds., 353–364.
  37. P.M. Sołtan: Quantum spaces without group structure. Proc. Amer. Math. Soc. 138 (2010), 2079–2086. W archiwum arXiv pod tytułem "Non existence of group structure on some quantum spaces".
  38. P.M. Sołtan: Quantum SO(3) groups and quantum group actions on M2. J. Noncommut. Geom. 4 (2010), 2–28.
  39. P.M. Sołtan: On quantum semigroup actions on finite quantum spaces. Infin. Dimens. Anal. Quantum. Probab. Relat. Top. 12 no. 3 (2009), 503–509.
  40. P.M. Sołtan: Quantum families of maps and quantum semigroups on finite quantum spaces. J. Geom. Phys. 59 (2009) 354–368.
  41. P.M. Sołtan: Examples of quantum commutants. "Interactions of Algebraic & Coalgebraic Structures (Theory and Applications)", Arab J. Sci. Eng. 33 no. 2C (2008), 447–457.
  42. P.M. Sołtan & S.L. Woronowcz: From multiplicative unitaries to quantum groups II. J. Funct. Anal. 252 (1) (2007), 42–67.
  43. P.M. Sołtan: Compactifications of discrete quantum groups. Preprint Westfälische Wilhelms-Universität Münster, Alg. Rep. Th. 9 no. 6 (2006), 581–591.
  44. P.M. Sołtan: Quantum Bohr compactification. Illinois J. Math. 49 (4) (2005), 1245–1270.
  45. P.M. Sołtan: New quantum "az+b" groups. Rev. Math. Phys. 17 no. 3 (2005), 313–364.
  46. W. Pusz & P.M. Sołtan: Functional form of unitary representations of the quantum "az+b" group. Rep. Math. Phys. 52 no. 2 (2003), 309–319.
  47. P.M. Sołtan & S.L. Woronowcz: A remark on manageable multiplicative unitaries. Lett. Math. Phys. 57 (2001), 239–252.
  48. P.M. Sołtan: A remark on the spectrum of the analytic generator. Rep. Math. Phys. 48 no. 3 (2001), 407–414.

Preprinty

  1. A. Chirvasitu, P.M. Sołtan & M. Wasilewski: Quantum-rigid random quantum graphs. Preprint.
  2. A. Bochniak, I. Chełstowski, P. Kasprzak & P.M. Sołtan: Quantum Mycielskians: symmetries, twin vertices and distinguishing labelings. Preprint.
  3. J. Krajczok & P.M. Sołtan: On certain invariants of compact quantum groups. Preprint.
  4. W. Pusz & P.M. Sołtan: On some low dimensional quantum groups. Rozdział w monografii, która ma się ukazać w European Mathematical Society Publishing House.
  5. W. Pusz & P.M. Sołtan: Analysis on a homogeneous space of a quantum group. Preprint.

Notatki po angielsku

  1. Quantum semigroup structures on quantum families of maps. Notatki z wykładów na 7th ILJU School of Mathematics "Banach Spaces and Related Topics"
  2. Groups, algebras and means.
  3. Uniqueness of the hyperfinite II_1 factor.
  4. Amenability and exactness for group actions and operator algebras.
  5. Affine isometric actions on Hilbert spaces and amenability.
  6. C*-algebras, group actions and crossed products (lecture notes).
  7. A survey of quantum "az+b" groups.

Notatki po polsku

  1. Prostota \(\mathrm{C}^*_r(\mathbb{F}_2)\).
  2. Twierdzenie o imprymitywności.
  3. Teoria Tomity-Takesakiego.
  4. Twierdzenie Kreina-Smuliana.
  5. Minimalne działanie grupy SUq(N) na pełnym faktorze – notatki z pracy Y. Uedy.
  6. Geometryczna teoria grup.
  7. Reprezentacje indukowane i teoria Mackeya.

Książki