Publications (Reiji TOMATSU)

  1. Amenable discrete quatum groups,
    J. Math. Soc. Japan 58 (2006), 949-964. math.OA/0302222.

  2. Compact quantum ergodic systems,
    J. Funct. Anal. 254 (2008), 1-83. math.OA/0412012.

  3. A Paving Theorem for Amenable Discrete Kac Algebras,
    Internat. J. Math. 17 (2006), 905-919.

  4. (with T. Masuda) Classification of minimal actions of a compact Kac algebra with amenable dual,
    Comm. Math. Phys. 274 (2007), no. 2, 487-551. math.OA/0604348.

  5. A characterization of right coideals of quotient type and its application to classification of Poisson boundaries,
    Comm. Math. Phys. 275 (2007), no. 1, 271-296. math.OA/0611327.

  6. A Galois correspondence for compact quantum group actions,
    J. Reine Anguew. Math. 633 (2009), 165-182. math.OA/0801.1233.

  7. (with T. Masuda) Approximate innerness and central triviality of endomorphisms,
    Adv. Math. 220 (2009), no. 4, 1075-1134. math.OA/0802.0344.

  8. (with T. Masuda) Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III,
    J. Funct. Anal. 258 (2010), no. 6, 1965-2025. math.OA/0806.4259.

  9. (with U. Franz and A. Skalski) Idempotent states on compact quantum groups and their classification on Uq(2), SUq(2), and SOq(3),
    J. Noncommut. Geom. 7 (2013), no. 1, 221-254. math.OA/0903.2363.

  10. (with U. Franz and A. Skalski) On Square Roots of the Haar State on Compact Quantum Groups,
    Journal of Pure and Applied Algebra 216 (2012), Issue 10, 2079-2093. math.OA/1012.2004.

  11. (with Toshihiko Masuda) Rohlin flows on von Neumann algebras,
    Mem. Amer. Math. Soc. 244 (2016), no. 1153. math.OA/1206.0955.

  12. On product type actions of Gq,
    Adv. Math. 269 (2015), no. 10, 162--196. math.OA/1302.2335.

  13. (with Toshihiko Masuda) Classification of actions of discrete Kac algebras on injective factors,
    Mem. Amer. Math. Soc. 245, (2017), no. 1160. math.OA/1306.5046.

  14. (with R. Okayasu) Haagerup approximation property for arbitrary von Neumann algebras,
    Publ. Res. Inst. Math. Sci. 51 (2015), Issue 3, 567--603. math.OA/1312.1033.

  15. (with R. Okayasu) Haagerup approximation property and positive cones associated with a von Neumann algebra,
    J. Operator Theory 75 (2016), no. 2, 259--288. math.OA/1403.3971.

  16. (with M. Caspers, R. Okayasu and A. Skalski) Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras,
    C. R. Acad. Sci. Paris352 (2014), no. 6, 507--510. math.OA/1404.2716.

  17. (with Y. Ueda) A characterization of fullness of continuous cores of type III free product factors,
    Kyoto J. Math 56 (2016), no. 3, 599--610. math.OA/1412.2418.

  18. (with R. Okayasu and N. Ozawa) Haagerup approximation property via bimodules,
    Math. Scand. 121 (2017), no. 1, 75--91. math.OA/1501.06293.

  19. Ultraproducts of crossed product von Neumann algebras,
    Illinois Journal of Mathematics. 61 (2017), no.3--4, 275--286. arXiv:1705.00837.

  20. Centrally free actions of amenable C*-tensor categories on von Neumann algebras,
    arXiv:1812.04222.

Proceedings

  1. Poisson boundaries of discrete quantum groups, Banach Center Publ. 89 (2010), 297-312.
  2. Infinite tensor product actions of compact quantum groups, Topological quantum groups, Banach Center Publ. 111 (2017), 145--152.

Other articles

Notes