10 citations · 43 across the 22 of their papers we have counts for
7 papers · 1 filter
Note on bi-exactness for creation operators on Fock spaces
Kei Hasegawa, Yusuke Isono, Tomohiro Kanda
In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previ…
On Arveson's Boundary Theorem
Kei Hasegawa, Yoshimichi Ueda
This short note aims to give an insight to Arveson's boundary theorem by means of non-commutative Poisson boundaries and its applications.
Boundary rigidity for free product C*-algebras
Kei Hasegawa
For any reduced free product -algebra , we prove a boundary rigidity result for the embedding of into its associated $\mathrm…
Bass--Serre trees of amalgamated free product C*-algebras
Kei Hasegawa
For any reduced amalgamated free product -algebra , we introduce and study a canonical ambient -algebra $Δ\mathbf{T}(…
KK-equivalence for amalgamated free product C*-algebras
Kei Hasegawa
We prove that any reduced amalgamated free product C*-algebra is KK-equivalent to the corresponding full amalgamated free product C*-algebra. The main ingredient of its proof is Ju…
Relative nuclearity for -algebras and -equivalences of amalgamated free products
Kei Hasegawa
We prove a relative analogue of equivalence between nuclearity and CPAP. In its proof, the notion of weak containment for C-correspondences plays an important role. As an appli…