Dan-Virgil Voiculescu

Office: 783 Evans Hall
Phone: (510) 643-7342
Postal Address:



Recent preprints:

Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I. arXiv:2008.06990 [math.FA math.KT math.OA ], 2020

The Formula for the Quasicentral Modulus in the Case of Spectral Measures on Fractals. arXiv:2006.14456 [math.FA], 2020

Some Results and a K-theory Problem about Threshold Commutants mod Normed Ideals . arXiv:1911.07377 [math.FA], 2019

A Hydrodynamic Exercise in Free Probability: Setting up Free Euler Equations. arXiv:1902.02442 [math.OA], 2018

A few surveys.

Commutants mod Normed Ideals. in “Advances in Noncommutative Geometry On the Occasion of Alain Connes’ 70th Birthday”, Springer Verlag(2020), 585–606. arXiv:1810.12497 [math.OA], 2018

The bi-free extension of free probability. In Mathematical analysis, probability and applications– plenary lectures, pp. 217–233, Springer Proc. Math. Stat., 177, Springer, [Cham], 2016.

Free probability theory: random matrices and von Neumann algebras. In Proceedings International Congress of Mathematicians, Zurich 1994 (Birkhauser, Boston, 1995), pp.227–241.

Hilbert space operators modulo normed ideals. In Proceedings International Congress of Mathematicians, Warsaw, 1983, pp.1041-1047

A few older research papers which may not be easy to find.

A non-commutative Weyl-von Neumann theorem. Rev. Roumaine Math. Pures et Appl. 21 (1976), pp. 97–113.

Sur les representations factorielles finies de U(∞) et autres groupes semblables. Comptes Rendus Acad. Sci. Paris 279 (1974), pp.945–946

Multiplication of certain non-commuting random variables. Jour. Operator Theory 18 (1987), pp.223–235

Some results on norm-ideal perturbations of Hilbert space operators, II. Jour. OperatorTheory 5 (1981), pp.77–100.

K-groups of reduced crossed products by free groups (with M.Pimsner). Jour. OperatorTheory 8 (1982), pp.131–156.

Exact sequences for K-groups and Ext-groups of certain cross-product C*-algebras.(with M.Pimsner).Jour. Operator Theory 4 (1980), pp.93–118.

Imbedding the irrational rotation C*-algebra into an AF-algebra. (with M. Pimsner).Jour. Operator Theory 4 (1980), pp.201–210

Some results on norm-ideal perturbations of Hilbert space operators, I. Jour. OperatorTheory2(1979), pp.3–37.

Operations on certain non-commutative operator-valued random variables. (1992 preprint, CPAM UC Berkeley) Published in “Recent Advances in Operator Algebras”, Asterisque 232 (1995), pp.243–275

Circular and semicircular systems and free product factors. In Operator Algebras, Unitary Representations, Enveloping Algebras (Birkhauser, 1990), pp.45–60.