# Mathematical Sciences Research Institute

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# Workshop

Free Probability and Non-commutative Banach Spaces January 22, 2001 - January 27, 2001
 Registration Deadline: January 27, 2001 about 22 years ago October 22, 2000 over 22 years ago
Parent Program: Operator Algebras
Organizers P. Biane, D. Shlyakhtenko, R. Speicher, D. Voiculescu, E. Effros, E. Kirchberg, V. Paulsen, G. Pisier, Z-J. Ruan and A. Sinclair
Speaker(s)

## Show List of Speakers

Description
As part of the full-year 2000-2001 program on Operator Algebras, MSRI will host a one-week workshop on Free Probability and Non-Commutative Banach Spaces, January 22-26, 2001. The Free Probability section of the workshop will cover several aspects of the subject: applications to von Neumann algebras and C*-algebras of free product type, connections with random matrix theory, free stochastic processes and free stochastic integration, combinatorial approach via noncrossing partitions, free entropy. Probable participants in the Free Probability section include: G. Ben Arous, H. Bercovici, P. Biane, M. Bozejko, M. Anshelevich, T. Cabanal - Duvillard, K. Dykema, L. Ge, D. Gaboriau, A. Guionnet, U. Haagerup, K. Johannsen, A. Nica, F. Radulescu, D. Shlyakhtenko, R. Simion, R. Speicher, M. Stefan, S. Thorbjoernsen, D.Voiculescu, P.Zinn - Justin. The Non-commutative Banach Space section will cover the central concepts of the recently developed theory of operator spaces such as: exactness, local reflexivity and injectivity with applications to C* tensor products, operator algebras and operator modules. The non-commutative Lp-spaces, which play an important role in this theory, provide many points of contact with free probability. Probable participants in the Noncommutative Banach Spaces section include: W. Arveson, D. Blecher, E.G. Effros, U. Haagerup, M. Junge, E. Kirchberg, C. Le Merdy, J. Kraus, B. Magajna, N. Ozawa, T. Oikhberg, V. Paulsen, G. Pisier, C. Pop, N. Randrianantoanina, H.P. Rosenthal, Z.-J. Ruan, A. Sinclair, R. Smith, C. Webster
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics

## Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

## Show Lodging

MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

## Show Visa/Immigration

Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Jan 22, 2001
Monday
 08:00 AM - 05:00 PM On finite representability of operator spaces T. Oikhberg 08:00 AM - 05:00 PM C* Spaces E. Kirchberg 08:00 AM - 05:00 PM Variations on injectivity V. Paulsen 08:00 AM - 05:00 PM Completely contractive projections on non-commutative L^1 spaces P.W. Ng 09:30 AM - 10:50 AM Applications of free entropy Liming Ge 10:50 AM - 11:50 AM Large deviations for Gaussian matrices and free entropies Thierry Cabanal-Duvillard 11:50 AM - 02:00 PM Some properties of free group subfactors Marius Stefan 02:00 PM - 03:00 PM Non-commutative Lp spaces and their connections with operator algebras Zhang-Jin Ruan 02:00 PM - 03:00 PM Approximation properties for crossed products Roger Smith
Jan 23, 2001
Tuesday
 09:30 AM - 10:00 AM Multipliers of H1 and power bounded operators G. Pisier 10:00 AM - 11:00 AM The length of a Gamma factor Erik Christensen 11:00 AM - 12:00 PM Curvature and Dirac operator of a commuting d-tuple William Arveson (University of California, Berkeley) 12:00 PM - 02:00 PM Subspaces of non-commutative Lorentz-spaces Narcisse Randrianantoanina 02:00 PM - 04:20 PM Free probability analogue of the Wasserstein distance on trace state space Dan Virgil Voiculescu (University of California, Berkeley) 02:00 PM - 04:20 PM The enumeration of planar maps, links and knots P. Zinn-Justin 04:20 PM - 05:20 PM R-cyclic families of matrices in free probability Alexandru Nica
Jan 24, 2001
Wednesday
 09:30 AM - 10:50 AM Free cummulants, matrix orbits and characters of symmetric groups Philippe Biane (École Normale Supérieure) 10:50 AM - 11:50 AM A characterization of freeness by a factorization of operator-valued cummulants Roland Speicher 11:50 AM - 02:00 PM Ito formula for free Levy processes Michael Anshelevich 02:00 PM - 04:00 PM TBA Timur Oikhberg 02:00 PM - 04:00 PM On the local theory of noncommutative Lp spaces Marius Junge 04:00 PM - 04:30 PM Approximation of hyperfinite martingales by finite dimensional martingales Magdalena Musat 04:30 PM - 05:00 PM Semi-Transitive Operator Algebras H. Rosenthal 05:00 PM - 05:30 PM Singular masas in factors from hyperbolic groups Alistair Sinclair (University of California, Berkeley) 05:30 PM - 06:30 PM Normal modules and maps Bojan Magajna
Jan 25, 2001
Thursday
 09:30 AM - 11:00 AM TBA Eberhard Kirchberg (Humboldt-Universität) 11:00 AM - 12:00 PM Multiplier operator algebras and M-structure David Blecher 12:00 PM - 01:30 PM An operator Hilbert space without the operator approximation property Alvaro Arias 01:30 PM - 02:00 PM $$\ell^2$$-invariants for groups and equivalence relations Damien Gaboriau 02:00 PM - 03:50 PM Convex sets of moments in von Neumann algebras Florin Radulescu 03:50 PM - 04:30 PM Strong and weak limit theorems for free random variables Hari Bercovici 04:30 PM - 05:30 PM Self decomposability and Levy processes S. Thorbjoernsen
Jan 26, 2001
Friday
 09:30 AM - 10:50 AM On free Araki-Woods factors Dimitri Shlyakhtenko (University of California, Los Angeles) 10:50 AM - 11:50 AM Decomposability of Voiculescu's circular operator Kenneth Dykema 11:50 AM - 02:00 PM Invariant subspaces of R-diagonal operators Piotr Sniady 02:00 PM - 03:15 PM TBA Vern Paulsen (University of Texas) 03:15 PM - 03:50 PM TBA Ping Ng 03:50 PM - 04:10 PM H1 has no completely unconditional basis E. Ricard
Jan 27, 2001
Saturday
 09:30 AM - 10:35 AM Operator space properties of decomposable operators Christian Le Merdy 10:35 AM - 11:40 AM On the lifting problem for separable C*-algebras Narutaka Ozawa 11:40 AM - 02:00 PM One-sided M Structure in operator spaces Vrej Zarikian 02:00 PM - 04:00 PM From lacunary sets on groups to free and boolean probability with applications to operator spaces Marek Bozejko 02:00 PM - 04:00 PM Monotonic independence for noncommutative random variables Naofumi Muraki (Iwate Prefectural University) 04:00 PM - 05:00 PM Cummulants, lattice paths and orthogonal polynomials Franz Lehner