UEDA Yoshimichi

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Name
UEDA Yoshimichi
Affiliation
Nagoya University
Section
Graduate School of Mathematics
Job title
Professor

Research Interests

 
 

Research Areas

 
 

Published Papers

 
Yoshimichi Ueda
Archiv der Mathematik   108(6) 629-638   Jun 2017   [Refereed]
© 2017, Springer International Publishing. A lower estimate of the orbital free entropy χorbunder unitary conjugation is proved, and it together with Voiculescu’s observation shows that the conjectural exact formula relating χorbto the free entrop...
Ueda Yoshimichi
JOURNAL OF THEORETICAL PROBABILITY   32(2) 806-847   Jun 2019   [Refereed]
Longo Roberto, Tanimoto Yoh, Ueda Yoshimichi
ANNALES DE L INSTITUT FOURIER   69(3) 1229-1258   2019   [Refereed]
Cyril Houdayer, Yoshimichi Ueda
Mathematical Proceedings of the Cambridge Philosophical Society   161(3) 489-516   Nov 2016   [Refereed]
Copyright © Cambridge Philosophical Society 2016. Let (M, φ) = (M 1, φ1) ∗ (M 2, φ2) be the free product of any σ-finite von Neumann algebras endowed with any faithful normal states. We show that whenever Q C M is a von Neumann subalgebra with sep...
Ueda Yoshimichi
JOURNAL OF NONCOMMUTATIVE GEOMETRY   13(2) 587-607   2019   [Refereed]
Reiji Tomatsu, Yoshimichi Ueda
Kyoto Journal of Mathematics   56(3) 599-610   Sep 2016   [Refereed]
© 2016 by Kyoto University. We prove that, for any type III1free product factor, its continuous core is full if and only if its τ-invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for f...
Yoshimichi Ueda
American Journal of Mathematics   138(2) 367-394   Apr 2016   [Refereed]
© 2016 by Johns Hopkins University Press. We give a general description of the discrete decompositions of type III factors arising as central summands of free product von Neumann algebras based on our previous works. This enables us to give severa...
Cyril Houdayer, Yoshimichi Ueda
Compositio Mathematica   152 2461-2492   Dec 2016   [Refereed]
© The Authors 2016. Let be any nonempty set and (Mi, φi)i∈I let be any family of nonamenable factors, endowed with arbitrary faithful normal states, that belong to a large classCanti-free of (possibly type ) von Neumann algebras including all nonp...
Masaki Izumi, Yoshimichi Ueda
Nagoya Mathematical Journal   220 45-66   Jan 2015   [Refereed]
© 2015 by The Editorial Board of the Nagoya Mathematical Journal. The present notes provide a proof of i* (CP +C(I - P);CQ+C(I - Q)) = -χorb(P,Q) for any pair of projections P,Q with τ (P) = τ (Q) = 1/2. The proof includes new extra observations, ...
Miguel Martín, Yoshimichi Ueda
Positivity   18(3) 519-530   Sep 2014   [Refereed]
© 2013, Springer Basel. Let M be a von Neumann algebra and let M⋆ be its (unique) predual. We study when for every φ∈M⋆ there exists ψ∈M⋆ solving the equation ‖φ±ψ‖=‖φ‖=‖ψ‖. This is the case when M does not contain type I nor type III1factors as d...
Yoshimichi Ueda
Proceedings of the Japan Academy Series A: Mathematical Sciences   90(10) 151-155   Jan 2014   [Refereed]
© 2014 The Japan Academy. We show that the continuous core of any type III free product factor has no Cartan subalgebra. This is a complement to previous works due to Houdayer-Ricard and Boutonnet-Houdayer-Raum.
Yoshimichi Ueda
Indiana University Mathematics Journal   63(2) 551-577   Jan 2014   [Refereed]
We give another definition of orbital free entropy introduced by Hiai, Miyamoto, and us, which does not need the hyperfiniteness assumption for each given random multivariable. The present definition is somehow related to one of its several recent...
Fumio Hiai, Yoshimichi Ueda
Communications in Mathematical Physics   334(1) 275-300   Jan 2014   [Refereed]
© 2014, Springer-Verlag Berlin Heidelberg. Orbital counterparts of the free pressure and its Legendre transform (or η- entropy) are introduced and studied in comparison with other entropy quantities in free probability theory and in relation to ra...
Yoshimichi Ueda
Advances in Mathematics   228(5) 2647-2671   Dec 2011   [Refereed]
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras. © 2011 Elsevier Inc.
Yoshimichi Ueda
Bulletin of the London Mathematical Society   43 886-896   Jan 2011   [Refereed]
The liftability property of weakly relatively compact subsets in M/A⊥ to M is established for any non-commutative H∞-algebra A=H∞(M,). Some supplementary results to our previous works are also given. © 2011 London Mathematical Society.
Yoshimichi Ueda
Journal of the London Mathematical Society   88 25-48   Jan 2013   [Refereed]
Several techniques together with some partial answers are given to the questions of factoriality, type classification and fullness for amalgamated free product von Neumann algebras. © 2013 London Mathematical Society.
Fumio Hiai, Yoshimichi Ueda
Annales de l'institut Henri Poincare (B) Probability and Statistics   45(1) 239-249   Feb 2009   [Refereed]
We prove a kind of logarithmic Sobolev inequality claiming that the mutual free Fisher information dominates the microstate free entropy adapted to projections in the case of two projections. © 2009 Association des Publications de l'Institut Henri...
Fumio Hiai, Takuho Miyamoto, Yoshimichi Ueda
International Journal of Mathematics   20(2) 227-273   Feb 2009   [Refereed]
Motivated by Voiculescu's liberation theory, we introduce the orbital free entropy χorbfor non-commutative self-adjoint random variables (also for "hyperfinite random multi-variables"). Besides its basic properties, the relation of χorbwith the us...
Yoshimichi Ueda
Mathematische Annalen   343(2) 421-429   Feb 2009   [Refereed]
A non-commutative extension of Amar and Lederer's peak set result is given. As its simple applications it is shown that any non-commutative H ∞-algebra H ∞(M, τ) has unique predual, and moreover some restriction in some of the results of Blecher a...
Yoshimichi Ueda
Mathematical Research Letters   18 909-920   Jan 2011   [Refereed]
Type III1factors arising as (direct summands of) von Neumann algebraic free products are investigated. In particular we compute Connes' Sd- and τ-invariants for those type III1 factors without any extra assumption. © International Press 2011.
Ueda Yoshimichi
Illinois Journal of Mathematics   52(3) 705-725   Dec 2008   [Refereed]
It is shown that any HNN extension is precisely a compression by a projection of a certain amalgamated free product in the framework of operator algebras. As its applications several questions for von Neumann algebras or C*-algebras arising as HNN...
Fumio Hiai, Yoshimichi Ueda
Infinite Dimensional Analysis, Quantum Probability and Related Topics   9(3) 391-412   Sep 2006   [Refereed]
The free analogue of the transportation cost inequality so far obtained for measures is extended to the noncommutative setting. Our free transportation cost inequality is for traded distributions of noncommutative self-adjoint (also unitary) multi...
Fumio Hiai, Yoshimichi Ueda
Publications of the Research Institute for Mathematical Sciences   44 49-89   Jan 2008   [Refereed]
We study the microstate free entropy χproj(p1,... , pn) of projections, and establish its basic properties similar to the self-adjoint variable case. Our main contribution is to characterize the pair-block freeness of projections by the additivity...
Fumio Hiai, Dénes Petz, Yoshimichi Ueda
Canadian Mathematical Bulletin   49(3) 389-406   Jan 2006   [Refereed]
Free analogues of the logarithmic Sobolev inequality compare the relative free Fisher information with the relative free entropy. In the present paper such an inequality is obtained for measures on the circle. The method is based on a random matri...
Ueda Yoshimichi
Operator Algebras   1 259-279   2006   [Refereed]
Yoshimichi Ueda
Journal of Functional Analysis   225 383-426   Aug 2005   [Refereed]
Reduced HNN extensions of von Neumann algebras (as well as C*-algebras) will be introduced, and their modular theory, factoriality and ultraproducts will be discussed. In several concrete settings, detailed analysis on them will be also carried ou...
Fumio Hiai, Dénes Petz, Yoshimichi Ueda
Probability Theory and Related Fields   130 199-221   Oct 2004   [Refereed]
By means of random matrix approximation procedure, we re-prove Biane and Voiculescu's free analog of Talagrand's transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the free transportation cost inequalit...
Fumio Hiai, Yoshimichi Ueda, Yoshimichi Ueda
Journal of Operator Theory   50 119-130   Jun 2003   [Refereed]
A continuous family of non-outer conjugate aperiodic automorphisms whose crossed-products are all isomorphic is given on every interpolated free group factor. An explicit "duality" relationship between compact co-commutative Kac algebra (minimal) ...
Yoshimichi Ueda, Yoshimichi Ueda
Transactions of the American Mathematical Society   355 349-371   Jan 2003   [Refereed]
Ultra-product algebras associated with amalgamated free products over Cartan subalgebras are investigated. As applications, their Connes' χ-groups are computed in terms of ergodic theory, and also we clarify what condition makes them full factors ...
Dimitri Shlyakhtenko, Yoshimichi Ueda
Journal fur die Reine und Angewandte Mathematik   149-166   Dec 2002   [Refereed]
By utilizing an irreducible inclusion of type IIIq2 factors coming from a free-product type action of the quantum group SUq(2), we show that the free group factor L(double-struck F sign∞) possesses irreducible subfactors of arbitrary index > 4. Co...
Yoshimichi Ueda, Yoshimichi Ueda
Mathematica Scandinavica   88 111-125   Jan 2001   [Refereed]
Yoshimichi Ueda, Yoshimichi Ueda, Yasuo Watatani
Proceedings of the American Mathematical Society   128 1397-1404   Dec 2000   [Refereed]
We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebrasβon sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(Fr). For example,...
Yoshimichi Ueda
International Mathematics Research Notices   2000    Dec 2000   [Refereed]
Yoshimichi Ueda
Journal of the Mathematical Society of Japan   51 449-461   Jan 1999   [Refereed]
Based on the free product construction we show that a certain full factor of type IIIq2admits a minimal coaction of the compact quantum group SUq(n). Minimal coactions of compact Kac algebras are also investigated by the same technique. © 1999, Th...
Yoshimichi Ueda, Yoshimichi Ueda
Pacific Journal of Mathematics   191 359-392   Jan 1999   [Refereed]
We study amalgamated free products of factors over their common Cartan subalgebras. We will show that the resulting amalgamated free product is a factor as long as given factors are non-type I and furthermore its (smooth) flow of weights is determ...

Misc

 
植田好道
数理科学   55(10) 22‐28   Oct 2017
UEDA YOSHIMICHI
RIMS Kokyuroku   1587 116-124   Apr 2008
Ueda Yoshimichi
RIMS Kokyuroku   1077 79-87   Feb 1999