- [39]
Matrix liberation process II: Relation to orbital free entropy

Canad. J. Math., to appear.

[arXiv:1905.08013] abstract - [38]
On Arveson's boundary theorem (with Kei Hasegawa)

Math. Proc. Royal Irish Acad., Vol.119A (2019), No.1, 1-5.

[arXiv:1810.10689] abstract - [37]
Free products in AQFT (with Roberto Longo and Yoh Tanimoto)

Ann. Inst. Fourier (Grenoble), 69 (2019) no. 3, 1229-1258.

[arXiv:1706.06070] abstract - [36]
Matrix liberation process I: Large deviation upper bound and almost sure convergence

J Theor Probab, Vol.32, No.2 (2019), 806-847.

[arXiv:1610.04101] abstract - [35]
A remark on orbital free entropy

Arch. Math., Vol.108, No.6 (2017), 629-638.

[arXiv:1610.04118] abstract - [34]
A free product pair rigidity result in von Neumann algebras

J. Noncommut. Geom., Vol.13, No.2 (2019), 587-607.

[arXiv:1610.01842] abstract - [33]
Rigidity of free product von Neumann algebras (with Cyril Houdayer)

Compositio Math., Vol.152, No.12 (2016), 2461-2492.

[arXiv:1507.02157] abstract - [32]
Asymptotic structure of free product von Neumann algebras (with Cyril Houdayer)

Math. Proc. Cambridge Philos. Soc., Vol.161, No.3 (2016), 489-516.

[arXiv:1503.02460] abstract - [31]
A characterization of the fullness of continuous cores of type III$_1$ free product factors (with Reiji Tomatsu)

Kyoto J. Math., Vol.56, No.3 (2016), 599-610.

[arXiv:1412.2418] abstract - [30]
Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras

Proc. Japan Acad. Ser. A., Vol.90, No.10 (2014), 151-155.

[arXiv:1401.6489] abstract - [29]
Orbital free pressure and its Legendre transform (with Fumio Hiai)

Comm. Math. Phys., Vol.334, No.1 (2015), 275-300.

[arXiv:1310.3877] abstract - [28]
Remarks on free mutual information and orbital free entropy (with Masaki Izumi)

Nagoya Math. J., 220 (2015), 45-66.

[arXiv:1306.5372] abstract - [27]
Orbital free entropy, revisited

Indiana Univ. Math. J., Vol.63, No.2 (2014), 551-577.

[arXiv:1210.6421] abstract - [26]
On the geometry of von Neumann algebra preduals (with Miguel Martin)

Positivity, Vol.18, No.3 (2014), 519-530.

[arXiv:1209.3391] abstract - [25]
Discrete cores of type III free product factors

Amer. J. Math., Vol.138, No.2 (2016), 367-394.

[arXiv:1207.6838] abstract

- [24]
Some analysis on amalgamated free products of von Neumann algebras in non-tracial setup

J. London Math. Soc., Vol.88, No.1 (2013), 25-48.

[arXiv:1203.1806] abstract

- [23]
On type III$_1$ factors arising as free products

Math. Res. Lett., Vol.18, No.5 (2011), 909-920.

[arXiv:1101.4991] abstract

- [22]
Factoriality, type classification and fullness for free product von Neumann algebras

Adv. Math., Vol.228, No.5 (2011), 2647-2671.

[arXiv:1011.5017] abstract

- [21]
On the predual of non-commutative $H^\infty$

Bull. London Math. Soc., Vol.43, No.5 (2011), 886-896.

[arXiv:1002.3672] abstract

- [20]
On peak phenomena for non-commutative $H^\infty$

Math. Ann., Vol.343, No.2 (2009), 421-429.

[arXiv:0802.3449] abstract

- [19]
Orbital approach to microstate free entropy,
(with Fumio Hiai and Takuho Miyamoto)

Internat. J. Math., Vol.20, No.2 (2009), 227-273.

[math.OA/0702745] abstract

- [18]
Notes on microstate free entropy of projections, (with Fumio Hiai)

Publ. RIMS, Vol.44, No.1 (2008), 49-89.

[math.OA/0605633] abstract

- [17]
Remarks on HNN extensions in operator algebras

Illinois J. Math., Vol.52, No.3 (2008 in print; 2009 on web), 705-725.

[math.OA/0601706 <-- old ver.] abstract

- [16]
A log-Sobolev type inequality for free entropy of two projections,
(with Fumio Hiai)

Annales IHP Probab. Stat., Vol.45, No.1 (2009), 239-249.

[math.OA/0601171] abstract

- [15]
Notes on treeability and costs for discrete groupoids in operator algebra framework

Abel Symposia I, (2006), 259-279.

[math.OA/0504262] abstract

- [14]
Free transportation cost inequalities for non-commutative multi-variables,
(with Fumio Hiai)

Inf. Dim. Analysis and Quant. Prob., Vol. 9, No.3 (2006), 391-412.

[math.OA/0501238] abstract

- [13]
A free logarithmic Sobolev inequality on the unit circle,
(with Fumio Hiai and Denis Petz)

Canad. Math. Bull., Vol. 49, No. 3 (2006), 389-406.

abstract

- [12]
HNN extensions of von Neumann algebras

J. Funct. Anal., Vol. 225, No. 2 (2005), 383-426.

[math.OA/0312439] abstract

- [11]
Free transportation cost inequalities via random matrix approximation,
(with Fumio Hiai and Denis Petz)

Probab. Th. Relat. Fields, Vol. 130, No. 2 (2004), 199-221.

abstract

- [10]
Free product actions and their applications

Quantum Probability and White Noise Analysis, Vol. 16 (2003), 388-411.

[math.OA/0211168] abstract

- [9]
Automorphisms of free product type and their crossed-products, (with Fumio Hiai)

J. Operator Theory, Vol. 50, No.1 (2003), 119--130.

[math.OA/0211163] abstract

- [8]
Irreducible subfactors of $L(\mathbb{F}_\infty)$ of index $\lambda > 4$
, (with Dimitri Shlyakhtenko)

J. reine angew. Math. (Crelle's Journal) Vol. 548 (2002), 149 -- 166.

[math.OA/0010202] abstract

- [7]
Fullness, Connes' $\chi$-groups, and ultra-products of amalgamated free products over Cartan subalgebras

Trans. Amer. Math. Soc., Vol.355, No. 1 (2003), 349-371.

abstract

- [6]
Amalgamated free product over Cartan subalgebra, II. Supplementary Results & Examples

Advanced Studies in Pure Mathematics, Vol. 38 (2004), 239-265.

[math.OA/0211164] abstract

- [5]
On the fixed-point algebra under a minimal free product-type action of the quantum group $\mathrm{SU}_q(n)$

International Mathematics Research Notices, Vol. 2000, No.1 (2000), 35-56.

abstract

- [4]
A relation between certain interpolated Cuntz algebras and interpolated free group factors
, (with Yasuo Watatani)

Proc. Amer. Math. Soc., Vol. 128, No.5 (2000), 1397-1404.

abstract

- [3]
Remarks on free products with respect to non-tracial states

Math. Scand., Vol. 88, No.1 (2001), 111-125.

abstract

- [2]
Amalgamated free product over Cartan subalgebra

Pacific J. Math., Vol.191, No.2 (1999), 359-392.

abstract

- [1]
A minimal action of the compact quantum group $\mathrm{SU}_q(n)$ on a full factor

J. Math. Soc. Japan Vol.51, No. 2 (1999), 449-461.

abstract

- Co-authors:

Kei Hasegawa (1), Fumio Hiai (8), Cyril Houdayer (2), Masaki Izumi (1), Roberto Longo (1), Miguel Martin (1), Takuho Miyamoto (1), Denis Petz (2), Dimitri Shlyakhtenko (1), Yoh Tanimoto (1), Reiji Tomatsu (1), Yasuo Watatani (1) - Journals (39):

Soc: MathScand, PAMS., ASPM, TAMS, CMB, Abel, BLMS, JLMS, MPCPS, Compos., Irish Acad, CJM

Univ.: Pacific, Illinois, American, Indiana, Fourier

Publishers: IMRN, Crelle, IJM, Math. Ann., Adv. Math., MRL, Arch. Math.

Domestic: JMSJ, RIMS, Nagoya, PJA, Kyoto

FA: JOT, JFA, Positivity, JNCG

PR: QP-WN, PTRF, IDAQP, AIHP-PR, JOTP

MP: CMP

__Inequalities related to free entropy derived from random matrix approximation__, (with F. Hiai and D. Petz)

Unpublished preprint. (2003). This is divided into [11,13] in the above list. [math.OA/0310453]

__Free Talagrand Inequality__, pdf.

Oberwolfach Reports No.15/2005, "Free Probability Theory", 857--861.

Summary mainly on the joint work with Fumio Hiai [14].

__On orbital free entropy dimension__, pdf.

This is an outtake of one of my private notes for the proceedings of the RIMS conference, Sep. 07.

We give a direct proof to the general upper bound of orbital free entropy dimension.

__Quick review on property (X)__, pdf.

This is an outtake of my private notes for the proceedings of the RIMS conference, Jun. 08.

We give a short survey on some techniques that are useful for proving the uniqueness of preduals.

__Free product factor and bicentralizer problem__, pdf.

This is originally a preprint circulated to restricted persons.

We confirmed that any type III$_1$ free product factor has the trivial asymptotic bicentralizer.

Only the Connes--Stormer transitivity and two results in [22] are used there. After that, Cyril Houdayer found that his technology gives a much simpler proof, which is included in [32].