This project is funded within Long-term program of support of the Ukrainian research teams at the Polish Academy of Sciences carried out in collaboration with the U.S. National Academy of Sciences with the financial support of external partners. The project period is from September 2023 to August 2025.
Principal investigator: dr hab. Artem Dudko
Team members:
dr hab. Oleksandr Danylenko, B. Verkin ILTPE, Kharkiv, Ukraine, and IM PAN
DSc Mykola Nessonov, B. Verkin ILTPE, Kharkiv, Ukraine, and IM PAN
BSc Mykyta Vieprik, V. N. Karazin KhNU, Kharkiv, Ukraine, and IM PAN
BSc Nhok Tkhai Shon Ngo, V. N. Karazin KhNU, Kharkiv, Ukraine, and IM PAN
Publications and preprints:
A. Dudko and R. Grigorchuk, Characters and IRS's on branch groups and embeddings into hyperfinite factor, https://arxiv.org/abs/2312.13124, submitted for publication in Journal of Functional Analysis
O. I. Danylenko and M. I. Vieprik, Rank-one nonsingular actions of countable groups and their odometer factors, https://arxiv.org/abs/2401.16397
M.I. Nessonov, “The classification of the stable factor-representations of the infinite hyperoctahedral group”, https://arxiv.org/abs/2402.18058
M. I. Nessonov, S. D. Sinelshchikov, “An analogue of the Schur-Weyl duality for the automorphisms group of a II1-factor”, https://arxiv.org/abs/2211.14280, accepted for publication in Journal of Lie Theory