photo Prof. Ilan Hirshberg
Ph.D, 2003, University of California at Berkeley (Advisor: Bill Arveson)

Research interests: C*-algebras.

Contact information

Department of Mathematics
Ben Gurion University of the Negev
P.O.B. 653
Be'er Sheva 84105
Office: Room 203, Deichmann Building (58).
Office phone number: +972-8-6477860

Publications and preprints

  • 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,
  • 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 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.
  • Ilan Hirshberg and N. Christopher Phillips, A simple nuclear C*-algebra with an internal asymmetry, to appear, Anal. PDE , 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, ArXiv, to appear, Adv. Math.

Teaching (2021/22)

First semester:

Second semester: