論文 - 植田　好道

Irreducible subfactors of L(double-struck F sign<inf>∞</inf>) of index λ &gt; 4 査読有り Open Access

Dimitri Shlyakhtenko, Yoshimichi Ueda

Journal fur die Reine und Angewandte Mathematik     頁： 149 - 166   2002年12月

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記述言語：英語   掲載種別：研究論文（学術雑誌）  

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 &gt; 4. Combined with earlier results of Radulescu, this shows that L (double-struck F sign∞) has irreducible subfactors with any index value in {4cos2(π/n): n ≧ 3} ∪ [4, + ∞).

DOI： 10.1515/crll.2002.057

Open Access

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Remarks on free products with respect to non-tracial states 査読有り

Y Ueda

MATHEMATICA SCANDINAVICA   88 巻 ( 1 ) 頁： 111 - 125   2001年

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：MATEMATISK INSTITUT  

DOI： 10.7146/math.scand.a-14317

Web of Science

Scopus

A relation between certain interpolated Cuntz algebras and interpolated free group factors 査読有り Open Access

Y Ueda, Y Watatani

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   128 巻 ( 5 ) 頁： 1397 - 1404   2000年

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：AMER MATHEMATICAL SOC  

We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras O-beta on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(F-r). For example, in case of the golden number beta = 1+root 5/2 the corresponding number r is 3/2.

DOI： 10.1090/S0002-9939-99-05470-2

Web of Science

Scopus

On the fixed-point algebra under a minimal free product-type action of the quantum group SUq (2) 査読有り

Y Ueda

INTERNATIONAL MATHEMATICS RESEARCH NOTICES   2000 巻 ( 1 ) 頁： 35 - 56   2000年

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：DUKE UNIV PRESS  

DOI： 10.1155/S1073792800000039

Web of Science

Scopus

A minimal action of the compact quantum group SUq(n) on a full factor 査読有り Open Access

Yoshimichi Ueda

Journal of the Mathematical Society of Japan   51 巻 ( 2 ) 頁： 449 - 461   1999年

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記述言語：英語   掲載種別：研究論文（学術雑誌）  

Based on the free product construction we show that a certain full factor of type IIIq2 admits a minimal coaction of the compact quantum group SUq(n). Minimal coactions of compact Kac algebras are also investigated by the same technique. © 1999, The Mathematical Society of Japan. All rights reserved.

DOI： 10.2969/jmsj/05120449

Open Access

Scopus

Amalgamated free product over Cartan subalgebra 査読有り Open Access

Yoshimichi Ueda

Pacific Journal of Mathematics   191 巻 ( 2 ) 頁： 359 - 392   1999年

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：University of California, Berkeley  

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 determined.

DOI： 10.2140/pjm.1999.191.359

Scopus