Sergiy Neshveyev

• Habbestad, Erik & Neshveyev, Sergey (2024). Subproduct systems with quantum group symmetry. Journal of Noncommutative Geometry. ISSN 1661-6952. 18(1), s. 93–121. doi: 10.4171/JNCG/523.
• Neshveyev, Sergey & Schwartz, Gaute (2023). Non-Hausdorff etale groupoids and C*-algebras of left cancellative monoids. Münster Journal of Mathematics. ISSN 1867-5778. 16(1), s. 147–175. doi: 10.17879/51009604279. Fulltekst i vitenarkiv
• De Commer, Kenny; Neshveyev, Sergiy; Tuset, Lars & Yamashita, Makoto (2023). Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals. Forum of Mathematics, Pi. ISSN 2050-5086. 11. doi: 10.1017/fmp.2023.11. Fulltekst i vitenarkiv Vis sammendrag

  We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enriquez–Etingof cyclotomic Knizhnik– Zamolodchikov (KZ) equations and the other on the Letzter–Kolb coideals. This equivalence can be upgraded to that of ribbon braided quasi-coactions, and then the associated reflection operators (K-matrices) become a tangible invariant of the quantization. As an application we obtain a Kohno–Drinfeld type theorem on type B braid group representations defined by the monodromy of KZ-equations and by the Balagović–Kolb universal K-matrices. The cases of Hermitian and non-Hermitian symmetric spaces are significantly different. In particular, in the latter case a quasi-coaction is essentially uniq

• Christensen, Johannes & Neshveyev, Sergey (2022). (Non)exotic completions of the group algebras of isotropy groups. International Mathematics Research Notices (IMRN). ISSN 1073-7928. 2022(19), s. 15155–15186. doi: 10.1093/imrn/rnab127. Fulltekst i vitenarkiv
• Neshveyev, Sergey & Stammeier, Nicolai (2022). The groupoid approach to equilibrium states on right LCM semigroup C*-algebras. Journal of the London Mathematical Society. ISSN 0024-6107. 105(1), s. 220–250. doi: 10.1112/jlms.12510. Fulltekst i vitenarkiv
• Habbestad, Erik; Yudi Hataishi, Lucas & Neshveyev, Sergey (2022). Noncommutative Poisson boundaries and Furstenberg–Hamana boundaries of Drinfeld doubles. Journal des Mathématiques Pures et Appliquées. ISSN 0021-7824. 159, s. 313–347. doi: 10.1016/j.matpur.2021.12.006. Fulltekst i vitenarkiv
• Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey & Tuset, Lars (2021). Quantization of subgroups of the affine group. Journal of Functional Analysis. ISSN 0022-1236. 280(4). doi: 10.1016/j.jfa.2020.108844. Fulltekst i vitenarkiv
• Dabrowski, Ludwik; Hajac, Piotr M. & Neshveyev, Sergey (2020). Noncommutative Borsuk–Ulam-type conjectures revisited. Journal of Noncommutative Geometry. ISSN 1661-6952. 14(4), s. 1305–1324. doi: 10.4171/JNCG/352. Fulltekst i vitenarkiv
• Afsar, Zahra; Larsen, Nadia S. & Neshveyev, Sergey (2020). KMS States on Nica-Toeplitz C∗-algebras. Communications in Mathematical Physics. ISSN 0010-3616. 378(3), s. 1875–1929. doi: 10.1007/s00220-020-03711-6. Fulltekst i vitenarkiv

Se alle arbeider i Cristin

• Neshveyev, Sergey (2023). Dual cocycles and quantization of a class of locally compact groups.
• Neshveyev, Sergey (2023). Faithful representations of reduced groupoid C*-algebras, with application to semigroup C*-algebras.
• Neshveyev, Sergey (2022). Subproduct systems with quantum group symmetry.
• Neshveyev, Sergey (2022). Quantization of Lie groups and their homogeneous spaces.
• Neshveyev, Sergey (2022). Furstenberg-Hamana boundary of a C*-tensor category.
• Neshveyev, Sergey (2022). Subproduct systems, associated C*-algebras and their symmetries (3 lectures).
• Neshveyev, Sergey (2021). Topological boundaries of C*-tensor categories.
• Neshveyev, Sergey (2021). Boundary theory and amenability: from Furstenberg's Poisson formula to boundaries of Drinfeld doubles of quantum groups.
• Neshveyev, Sergey (2021). Subproduct systems with quantum group symmetry.
• Neshveyev, Sergey (2021). A Kohno-Drinfeld type theorem for symmetric spaces.
• Neshveyev, Sergey (2019). On compact quantum groups of Lie type.

Se alle arbeider i Cristin