Publications & Preprints

• I. Ishan, J. Peterson, L. Ruth: Von Neumann equivalence and properly proximal groups, Adv. Math., 438, Article 109481, (2024).
• C. Ding, J. Peterson: Biexact von Neumann algebras, arXiv:2309.10161, preprint 2023.
• P. Hiatt, J. Peterson, S. Popa: Some classes of smooth bimodues over II₁ factors and their associated 1-cohomology spaces, arXiv:2304.06242, preprint 2023.
• C. Ding, S. Kunnawalkam Elayavalli, J. Peterson: Properly proximal von Neumann algebras, Duke Math. J., 172(15), 2821-2894 (2023).
• D. Drimbe, A. Ioana, J. Peterson: Cocycle superrigidity for profinite actions of irreducible lattices, Groups Geom. Dyn., 17, no. 1, 315-329 (2023).
• U. Bader, R. Boutonnet, C. Houdayer, J. Peterson: Charmenability of arithmetic groups of product type, Invent. Math., 229, 929-985 (2022).
• S. Das, J. Peterson: Poisson boundaries of II₁ factors, Compositio Math., 158, 1746-1776 (2022).
• R. Boutonnet, A. Ioana, J. Peterson: Properly proximal groups and their von Neumann algebras, Ann. Sci. Éc. Norm. supérieur. (4), 54, no. 2, 445-482 (2021).
• D. Creutz, J. Peterson: Stabilizers of ergodic actions of lattices and commensurators, Trans. Amer. Math. Soc. 369, no. 6, 4119-4166 (2017), pdf.
• J. Peterson, A. Thom: Character rigidity for special linear groups, J. Reine Angew. Math. (Crelle's Journal) 716, 207-228 (2016), pdf.
• H. Li, J. Peterson, K. Schmidt: Ergodicity of principal algebraic group actions, Contemp. Math., 631, Amer. Math. Soc., Providence, RI, 2015. pdf.
• J. Peterson: Character rigidity for lattices in higher-rank groups, unpublished 2014, pdf.
• D. Creutz, J. Peterson: Character rigidity for lattices and commensurators, arXiv.org:1311.4513, preprint 2013, pdf, to appear in American Journal of Math.
• I. Chifan, J. Peterson: Some unique group-measure space decomposition results, Duke Mathematical Journal, 162, no. 11, 1923-1966 (2013).
• J. Peterson, T. Sinclair: On cocycle superrigidity for Gaussian actions, Erg. Th. & Dyn. Sys. 32, no. 1, 249-272 (2012). pdf
• J. Peterson, A. Thom: Group cocycles and the ring of affiliated operators, Invent. Math. 185, no. 3, 561 - 592 (2011). pdf
• J. Peterson: Examples of group actions which are virtually W*-superrigid, arXiv.org:1002.1745, unpublished 2009, pdf.
• J. Peterson: L^2-rigidity in von Neumann algebras, Invent. Math. 175, no. 2, 417-433 (2009). pdf
• J. Peterson: A 1-cohomology characterization of property (T) in von Neumann algebras, Pacific Journal of Math. 243, no. 1, 181-199 (2009).
• A. Ioana, J. Peterson, S. Popa: Amalgamated free products of w-rigid factors and calculation of their symmetry groups, Acta Math. 200, no. 1, 85-153 (2008).
• J. Peterson, S. Popa: On the notion of relative property (T) for inclusions of von Neumann algebras, J. Funct. Anal., 219, no. 2, 469-483 (2005).