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
ISRAEL
E-mail:
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, C
0
(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 E
0
-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,
Journal
,
ArXiv
, to appear,
Int. Math. Res. Not. IMRN
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, to appear,
J. Operator Theory
,
ArXiv
.
Eusebio Gardella, Ilan Hirshberg and Andrea Vaccaro, Strongly outer actions of amenable groups on Z-stable nuclear C*-algebras,
Journal
,
ArXiv
, to appear,
J. Math. Pures Appl.
.
Ilan Hirshberg and N. Christopher Phillips, Radius of comparison and mean cohomological independence dimension, preprint,
ArXiv
.
Teaching (2021/22)
First semester:
Fundamentals of Measure Theory
Fourier Analysis for EE
Second semester: