3 papers
math.LO2025
Automorphism groups of measures on the Cantor space. Part I: Good measures and Rokhlin properties
Michal Doucha, Dominik Kwietniak, Maciej Malicki +1
We study criteria for the existence of a dense or comeager conjugacy class in the automorphism group of a given measure on the Cantor space. We concentrate on good measures, define…
math.OA2023
Lie theoretic approach to unitary groups of -algebras
Hiroshi Ando, Michal Doucha
Following Robert's [26], we study the structure of unitary groups and groups of approximately inner automorphisms of unital -algebras, taking advantage of the former being Ban…
math.OA2023
An application of Kirchberg's lemma on central sequence algebras to groups of approximately inner automorphisms
Hiroshi Ando, Michal Doucha
We revisit a well-known "surjectivity onto quotient" type lemma of Kirchberg on the central sequence algebra of a separable unital -algebra, and use it to prove a "surje…