3 citations · 3 across the 4 of their papers we have counts for
4 papers
Non-Commutative Integration
Masamichi Takesaki
We will show that if $\sM$ is a factor, then for any pair $\f, \p\in\sMdsup$ of normal positive linear functionals on $\sM$, the inequality: $$ \lrnorm{\f}\leq \lrnorm{\p} $$ is eq…
Outer Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors III, The Type Case, , Examples
Yoshikazu Katayama, Masamichi Takesaki
In this last article of the series on outer actions of a countable dicrete amenable group on AFD factors, we analyze outer actions of a countable discrete free abelian group on an…
Outer Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors II, the III-Case,
Yoshikazu Katayama, Masamichi Takesaki
To study outer actions $\a$ of a group on a factor $\sM$ of type {\threel}, $0<\la<1$, we study first the cohomology group of a group with the unitary group of an abelian {\vna…
Outer actions of a countable discrete amenable group on approximately finite dimensional factors I, General Theory
Yoshikazu Katayama, Masamichi Takesaki
We associate a cohomological invariant to each outer action of a group on a factor, and classify them by the invariant in the case that the group is a countable discrete amenable g…