Non-amenable tight squeezes by Kirchberg algebras
Y Suzuki - Mathematische annalen, 2022 - Springer
We give a framework to produce C∗-algebra inclusions with extreme properties. This gives
the first constructive nuclear minimal ambient C∗-algebras. We further obtain a purely …
the first constructive nuclear minimal ambient C∗-algebras. We further obtain a purely …
Amenable actions on ill-behaved simple C*-algebras
Y Suzuki - arXiv preprint arXiv:2405.10191, 2024 - arxiv.org
By combining R {\o} rdam's construction and author's previous construction, we provide the
first examples of amenable actions on simple separable nuclear C*-algebras that are neither …
first examples of amenable actions on simple separable nuclear C*-algebras that are neither …
Nonseparable CCR algebras
I Farah, N Manhal - International Journal of Mathematics, 2021 - World Scientific
Extending a result of the first author and Katsura, we prove that for every UHF algebra A of
infinite type, in every uncountable cardinality κ there are 2 κ nonisomorphic approximately …
infinite type, in every uncountable cardinality κ there are 2 κ nonisomorphic approximately …
On pathological properties of fixed point algebras in Kirchberg algebras
Y Suzuki - Proceedings of the Royal Society of Edinburgh Section …, 2020 - cambridge.org
We investigate how the fixed point algebra of a C*-dynamical system can differ from the
underlying C*-algebra. For any exact group Γ and any infinite group Λ, we construct an outer …
underlying C*-algebra. For any exact group Γ and any infinite group Λ, we construct an outer …