Research interests:
1. Operator algebras: Subfactor theory, rigid C* -tensor categories, von Neumann algebras, completely positive and completely bounded maps, and dilation theory.
2. Operator theory: Wold decomposition and pair of commuting isometries.
Research publications (Published and Accepted):
Narayan Rakshit, Jaydeb Sarkar and Mansi Suryawanshi, Orthogonal decompositions and twisted isometries II.
To appear in Journal of Operator Theory, arXiv:2209.14014, 23 pages, 2022.arXiv:2209.14
2. Narayan Rakshit, Jaydeb Sarkar and Mansi Suryawanshi, Orthogonal decompositions and twisted isometries. Internat. J. Math. , 33(8), 2250058 (28 pages), 2022. DOI: https://doi.org/10.1142/S0129167X22500586.
3. B.V.R. Bhat, P. Bikram, S. De, and N. Rakshit, Poisson boundary on full Fock space, Trans. Amer. Math. Soc., 375(8), 5645-5668, 2022. DOI: https://doi.org/10.1090/tran/8684.
4. B.V.Rajarama Bhat, Sandipan De, and Narayan Rakshit, A caricature of dilation theory. Adv. Oper. Theory, 6(4), article no. 63, 2021. DOI: https://doi.org/10.1007/s43036-021-00157-y.
5. Jyotishman Bhowmick, Shamindra Kumar Ghosh, Narayan Rakshit, and Makoto Yamashita, Tube representations and twisting of graded categories. Theory Appl. Categ. 33(31), 964–987, 2018.
6. Dietmar Bisch, Paramita Das, Shamindra Kumar Ghosh, and Narayan Rakshit, Tube algebra of group-type subfactors. Internat. J. Math. 28(10), 1750069, 32 pp, 2017.