33 citations · 35 across the 7 of their papers we have counts for
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Maximal amenable MASAs of the free group factor of two generators arising from the free products of hyperfinite factors
Koichi Shimada
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 o…
Maximal amenability of the generator subalgebra in -Gaussian von Neumann algebras
Sandeepan Parekh, Koichi Shimada, Chenxu Wen
In this article, we give explicit examples of maximal amenable subalgebras of the -Gaussian algebras, namely, the generator subalgebra is maximal amenable inside the -Gaussia…
Approximate Unitary Equivalence of Finite Index Endomorphisms of the AFD Factors
Koichi Shimada
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 ext…
Classification of actions of compact abelian groups on subfactors with index less than 4
Koichi Shimada
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…
Locally Compact Separable Abelian Group Actions on Factors with the Rohlin Property
Koichi Shimada
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.
A Classification of Flows on AFD Factors with Faithful Connes--Takesaki Modules
Koichi Shimada
We classify flows on AFD factors with faithful Connes-Takesaki modules. This is a generalization of classification of trace-scaling flows on the AFD factor, wh…
Rohlin Flows on Amalgamated Free Product Factors
Koichi Shimada
We construct flows on an amalgamated free product factor and characterize the Rohlin property for them by freeness of actions on a measured space. As…