27 citations · 187 across the 20 of their papers we have counts for
20 papers
Every countable group admits amenable actions on stably finite simple C*-algebras
Yuhei Suzuki
We give the first examples of (non-amenable group) amenable actions on stably finite simple C*-algebras. More precisely, we give such actions for any countable group in an explicit…
Simplicity and tracial weights on non-unital reduced crossed products
Yuhei Suzuki
We extend theorems of Breuillard-Kalantar-Kennedy-Ozawa on unital reduced crossed products to the non-unital case under mild assumptions. As a result simplicity of C*-algebras is s…
C*-simplicity has no local obstruction
Yuhei Suzuki
In 2016, I solved a problem of de la Harpe in 2006: Is there a non-discrete C*-simple group? However the solution was not fully satisfactory as the provided C*-simple groups (and t…
On characterizations of amenable C*-dynamical systems and new examples
Narutaka Ozawa, Yuhei Suzuki
We show the equivalence of several amenability type conditions for C*-dynamical systems. As an application, based on the Pimsner--Meyer construction, we give a new method to produc…
Equivariant -absorption theorem for exact groups
Yuhei Suzuki
We show that, up to strong cocycle conjugacy, every countable exact group admits a unique equivariantly -absorbing, pointwise outer action on the Cuntz algebra $\mat…
Non-amenable tight squeezes by Kirchberg algebras
Yuhei Suzuki
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 infi…
On pathological properties of fixed point algebras in Kirchberg algebras
Yuhei Suzuki
We investigate how the fixed point algebra of a C*-dynamical system can differ from the underlying C*-algebra. For any exact group and any infinite group , we construct an o…
The approximation property and exactness of locally compact groups
Yuhei Suzuki
We extend a theorem of Haagerup and Kraus in the C*-algebra context: for a locally compact group with the approximation property (AP), the reduced C*-crossed product construction p…
Rigid sides of approximately finite dimensional simple operator algebras in non-separable category
Yuhei Suzuki
Applying Popa's orthogonality method to a new class of groups, we construct amenable group factors which are prime and have no infinite dimensional regular abelian *-subalgebras. B…
Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems
Yuhei Suzuki
Practically and intrinsically, inclusions of operator algebras are of fundamental interest. The subject of this paper is intermediate operator algebras of inclusions. There are two…
Simple equivariant C*-algebras whose full and reduced crossed products coincide
Yuhei Suzuki
For any second countable locally compact group G, we construct a simple G-C*-algebra whose full and reduced crossed product norms coincide. We then construct its G-equivariant repr…
Almost finiteness for general etale groupoids and its applications to stable rank of crossed products
Yuhei Suzuki
We extend Matui's notion of almost finiteness to general etale groupoids and show that the reduced groupoid C*-algebras of minimal almost finite groupoids have stable rank one. The…
Elementary constructions of non-discrete C*-simple groups
Yuhei Suzuki
Recently Raum has given the first examples of locally compact non-discrete groups with the simple reduced group C*-algebra, answering a question of de la Harpe. Here we construct s…
Minimal ambient nuclear C*-algebras
Yuhei Suzuki
We provide examples of ambient nuclear C*-algebras of non-nuclear C*-algebras with no proper intermediate C*-algebras. In particular this gives the first examples of minimal ambien…
Construction of minimal skew products of amenable minimal dynamical systems
Yuhei Suzuki
For an amenable minimal topologically free dynamical system of a group on a compact metrizable space and for a compact metrizable space satisfying a mild condition, we…
Group C*-algebras as decreasing intersection of nuclear C*-algebras
Yuhei Suzuki
We prove that for every exact discrete group , there is an intermediate C*-algebra between the reduced group C*-algebra and the intersection of the group von Neumann algebra and…
Realization of hyperbolic group C*-algebras as decreasing intersection of Cuntz algebras O_2
Yuhei Suzuki
It is proved that for every ICC group which is embeddable into a hyperbolic group, the reduced group C*-algebra is realized as the intersection of a decreasing sequence of isomorph…
Group approximation in Cayley topology and coarse geometry, Part III: Geometric property (T)
Masato Mimura, Narutaka Ozawa, Hiroki Sako +1
In this series of papers, we study correspondence between the following: (1) large scale structure of the metric space bigsqcup_m {Cay(G(m))} consisting of Cayley graphs of finite…
Amenable minimal Cantor systems of free groups arising from diagonal actions
Yuhei Suzuki
We study amenable minimal Cantor systems of free groups arising from the diagonal actions of the boundary actions and certain Cantor systems. It is shown that every virtually free…
Haagerup property for C*-algebras and rigidity of C*-algebras with property (T)
Yuhei Suzuki
We study the Haagerup property for C*-algebras. We first give new examples of C*-algebras with the Haagerup property. A nuclear C*-algebra with a faithful tracial state always has…