Zobrazeno 1 - 10
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pro vyhledávání: '"Shimada, Koichi"'
Autor:
Shimada, Koichi
In this paper, we give examples of maximal amenable subalgebras of the free group factor of two generators. More precisely, we consider two copies of the hyperfinite factor $R_i$ of type $\mathrm{II}_1$. From each $R_i$, we take a Haar unitary $u_i$
Externí odkaz:
http://arxiv.org/abs/1609.09617
In this article, we give explicit examples of maximal amenable subalgebras of the $q$-Gaussian algebras, namely, the generator subalgebra is maximal amenable inside the $q$-Gaussian algebras for real numbers $q$ with its absolute value sufficiently s
Externí odkaz:
http://arxiv.org/abs/1609.08542
Autor:
Shimada, Koichi
We characterize the condition for two finite index endomorphisms on an AFD factor to be approximately unitarily equivalent. The characterization is given by using the canonical extension of endomorphisms, which is introduced by Izumi. Our result is a
Externí odkaz:
http://arxiv.org/abs/1504.02434
Autor:
Shimada, Koichi
We calssify actions of discrete abelian groups on some inclusions of von Neumann algebras, up to cocycle conjugacy. As an application, we classify actions of compact abelian groups on the inclusions of AFD factors of type II_1 with index less than 4,
Externí odkaz:
http://arxiv.org/abs/1412.4319
Autor:
Shimada, Koichi
We show a classification theorem for locally compact separable abelain group actions on factorsw with the Rohlin property. This is a generalization of Masuda and Tomatsu's work.
Comment: 16 pages, to appear in Publ. Res. Inst. Math. Sci
Comment: 16 pages, to appear in Publ. Res. Inst. Math. Sci
Externí odkaz:
http://arxiv.org/abs/1308.5282
Autor:
Shimada, Koichi
We classify flows on AFD factors with faithful Connes-Takesaki modules. This is a generalization of classification of trace-scaling flows on the AFD $\mathrm{II}_\infty$ factor, which is equivalent to the uniqueness of the AFD $\mathrm{III}_1$ factor
Externí odkaz:
http://arxiv.org/abs/1308.2031
Autor:
Shimada, Koichi
We construct flows on an amalgamated free product factor and characterize the Rohlin property for them by freeness of $\mathbf{R}\times \mathbf{Z}$ actions on a measured space. As a corolally, it turns out that there exist Rohlin flows on an amalgama
Externí odkaz:
http://arxiv.org/abs/1212.3049
Publikováno v:
Journal of Operator Theory, 2018 Jan 01. 80(1), 125-152.
Externí odkaz:
https://www.jstor.org/stable/27226217
Autor:
Shimada, Koichi
Publikováno v:
Transactions of the American Mathematical Society, 2016 Jun 01. 368(6), 4497-4523.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.368.6.4497
Publikováno v:
In Corrosion Science 2009 51(11):2557-2564