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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…