1 citations · 1 across the 6 of their papers we have counts for
6 papers
A family of matrix flows converging to normal matrices
Masaki Izumi
The celebrated Antezana-Pujals-Stojanoff Theorem states that the iterated Aluthge transforms of an arbitrary matrix converge to a normal matrix. We introduce a family of matrix flo…
G-kernels and Crossed Modules
Sergio Girón Pacheco, Masaki Izumi, Ulrich Pennig
We develop a unified framework based on topological crossed modules for various lifting obstructions for -kernels. It allows us to identify actions, cocycle actions and -kern…
Determination of the distance from a projection to nilpotents
Masaki Izumi, Michiya Mori
In this note, we study the distance from an arbitrary nonzero projection to the set of nilpotents in a factor equipped with a normal faithful tracial state . W…
Minimal compact group actions on C-algebras with simple fixed point algebras
Masaki Izumi
The notion of qausi-product actions of a compact group on a C-algebra was introduced by Bratteli et al. in their attempt to seek an equivariant analogue of Glimm's characteriza…
-kernels of Kirchberg algebras
Masaki Izumi
A -kernel is a group homomorphism from a group to the outer automorphism group of a C-algebra. Inspired by recent work of Evington and Girón Pacheco in the stably finite…
Inclusions of simple -algebras
Masaki Izumi
We prove that if a conditional expectation from a simple -algebra onto its -subalgebra satisfies the Pimsner-Popa inequality, there exists a quasi-basis. As an applicatio…