Prof. Ilan Hirshberg

Department of Mathematics

Ben-Gurion University of the Negev

P.O.B. 653, Be'er Sheva 84105, Israel

E-mail:

Office: Room 203, Deichmann Building (58)

• Ilan Hirshberg, On C*-algebras associated to certain endomorphisms of discrete groups. New York J. Math. 8 (2002), 99--109. Journal
• Ilan Hirshberg, Endomorphisms of stable continuous-trace C*-algebras. Proc. Amer. Math. Soc. 132 (2004), no. 2, 481-486. Journal
• Ilan Hirshberg and Joachim Zacharias, On the structure of spectral algebras and their generalizations. Advances in quantum dynamics (South Hadley, MA, 2002), 149--162, Contemp. Math., 335, Amer. Math. Soc., Providence, RI, 2003.
• Ilan Hirshberg, C*-algebras of Hilbert module product systems. J. Reine Angew. Math. 570 (2004), 131--142. Journal
• Ilan Hirshberg, On the universal property of Pimsner-Toeplitz C*-algebras and their continuous analogues. J. Funct. Anal. 219 (2005), no. 1, 21--33. Journal, DVI
• Ilan Hirshberg, Essential representations of C*-correspondences, Internat. J. Math. 16, no. 7 (2005), 765--775. Journal, DVI
• Ilan Hirshberg and Wilhelm Winter, Rokhlin actions and self-absorbing C*-algebras. Pacific J. Math. 233, no. 1 (2007), 125--143. Journal, PDF
• Ilan Hirshberg, Mikael Rørdam and Wilhelm Winter, C₀(X)-algebras, stability and strongly self-absorbing C*-algebras. Math. Ann. 339, no. 3 (2007), 695--732. Journal, PDF
• Ilan Hirshberg and Wilhelm Winter, Permutations of strongly self-absorbing C*-algebras. Internat. J. Math. 19, no. 9 (2008), 1137--1145. Journal, ArXiv
• Marius Dadarlat , Ilan Hirshberg, Andrew S. Toms and Wilhelm Winter, The Jiang-Su algebra does not always embed. Math. Res. Lett. 16, no. 1 (2009), 23--26. Journal.
• Ilan Hirshberg, Eberhard Kirchberg and Stuart White, Decomposable approximations of nuclear C*-algebras, Adv. Math. 230 (2012), 1029--1039 Journal, ArXiv
• Ilan Hirshberg and Joav Orovitz, Tracially Z-absorbing C*-algebras, J. Funct. Anal. 265 (2013), 765--785 Journal, ArXiv.
• Ilan Hirshberg and Daniel Markiewicz, Continuous families of E₀-semigroups, Houston J. Math 40, no. 1 (2014), 145--160, Journal, PDF
• Jonathan Brown and Ilan Hirshberg, The Rokhlin property for endomorphisms and strongly self-absorbing C*-algebras, Illinois J. Math. 58 no. 3 (2014), 619--627. ArXiv, Journal
• Ilan Hirshberg, Wilhelm Winter and Joachim Zacharias, Rokhlin dimension and C*-dynamics, Comm. Math. Phys. 335 , no. 2 (2015), 637--670. Journal
• Ilan Hirshberg and N.Christopher Phillips, Rokhlin dimension: obstructions and permanence properties, Doc. Math. 20 (2015), 199--236. Journal.
• Ilijas Farah and Ilan Hirshberg, The Calkin algebra is not countably homogeneous, Proc. Amer. Math. Soc. 144, no. 12 (2016), 5351--5357. ArXiv.
• Ilan Hirshberg and Jianchao Wu, The nuclear dimension of C*-algebras associated to homeomorphisms (with an appendix by Gabor Szabo), Adv. Math. 304 (2017) 56--89, Journal, ArXiv.
• Ilan Hirshberg, Gabor Szabo, Wilhelm Winter and Jianchao Wu, Rokhlin dimension for flows, Comm. Math. Phys. 353 , no. 1 (2017), 253--316. Journal, ArXiv.
• Ilijas Farah and Ilan Hirshberg, Simple nuclear C*-algebras not isomorphic to their opposites, Proc. Nat. Acad. Sci. USA 114 no. 24 (2017), 6244--6249. Journal
• Marius Dadarlat, Ilan Hirshberg and N.Christopher Phillips, Simple nuclear C*-algebras not equivariantly isomorphic to their opposites, J. Noncommut. Geom. 12 (2018), no. 4, 1227--1253. ArXiv.
• Ilijas Farah, Ilan Hirshberg and Alessandro Vignati, The Calkin algebra is \aleph_1-universal. ArXiv, Israel J. Math. 237 (2020) 287--309.
• Eusebio Gardella, Ilan Hirshberg and Luis Santiago, Rokhlin dimension: duality, tracial properties, and crossed products, Ergodic Theory Dynam. Systems. 41, no. 2 (2021), 408--460. Journal, ArXiv,
• Ilan Hirshberg and Jianchao Wu, The nuclear dimension of C*-algebras associated to topological flows and orientable line foliations, Adv. Math. 386 (2021), Paper No. 107798, 56pp. Journal, ArXiv.
• Ilijas Farah and Ilan Hirshberg, A rigid hyperfinite type II_1 factor, Int. Math. Res. Not. IMRN no. 2 (2022), 846--861. Journal, ArXiv.
• Ilan Hirshberg, Rokhlin-type properties, approximate innerness and Z-stability, J. Operator Theory 87 no. 1 (2022), 157--186. ArXiv.
• Eusebio Gardella, Ilan Hirshberg and Andrea Vaccaro, Strongly outer actions of amenable groups on Z-stable nuclear C*-algebras, J. Math. Pures Appl. 162 (2022), 76--123. Journal, ArXiv.
• Ilan Hirshberg and N. Christopher Phillips, Radius of comparison and mean cohomological independence dimension, Adv. Math. 406 (2022), Paper No. 108563, 32pp. ArXiv, Journal.
• Ilan Hirshberg and N. Christopher Phillips, A simple nuclear C*-algebra with an internal asymmetry, Anal. PDE 16 (2023), no. 3, 711-745. Journal. ArXiv,
• Ilan Hirshberg, Exotic circle actions on classifiable C*-algebras, J. Funct. Anal. 286, no. 5 (2024), Paper No. 110296. Journal, ArXiv.
• Ilan Hirshberg and N. Christopher Phillips, Values of Rokhlin dimension for actions of compact groups, preprint, ArXiv. to appear, Int. Math. Res. Not. IMRN
• Ilan Hirshberg and Jianchao Wu, Long thin covers and nuclear dimension, preprint, ArXiv.
• Tattwamasi Amrutam, Ilan Hirshberg and Apurva Seth, Intermediate crossed product C*-algebras, preprint, ArXiv.
• Ilijas Farah and Ilan Hirshberg, A dichotomy for central sequence algebras, preprint, ArXiv, to appear, J. Operator Theory.
• Tattwamasi Amrutam, Ilan Hirshberg and Apurva Seth, Powers averaging for actions on C(X)-algebras, preprint, ArXiv.
• Ilan Hirshberg and N. Christopher Phillips, Simple AH algebras with the same Elliott invariant and radius of comparison, J. Funct. Anal. 290 (2026), no. 5, Paper No. 111272, 44 pp, Journal, ArXiv.
• M. Ali Asadi-Vasfi, Ilan Hirshberg and Apurva Seth, The radius of comparison for actions of Z^d on simple AH algebras, preprint, ArXiv, to appear, Anal. PDE
• Ilan Hirshberg and N. Christopher Phillips, An isomorphism theorem for infinite reduced free products, preprint, ArXiv
• Ilan Hirshberg and N. Christopher Phillips, Obstructions to homomorphisms between homogeneous C*-algebras, preprint, ArXiv