Yasuhiko Sato

most citedA generalization of the Jiang-Su construction

3 citations · 5 across the 3 of their papers we have counts for

collaborators

Showing math.OAShow all

4 papers · 1 filter

math.OA2011★ 17 cited

Discrete amenable group actions on von Neumann algebras and invariant nuclear C*-subalgebras

Yasuhiko Sato

Let $G$ be a countable discrete amenable group, $M$ a McDuff factor von Neumann algebra, and $A$ a separable nuclear weakly dense C $^{*}$ -subalgebra of $M$ . We show tha…

math.OA2009

The Rohlin property for automorphisms of the Jiang-Su algebra

Yasuhiko Sato

For projectionless C*-algebras absorbing the Jiang-Su algebra tensorially, we study a kind of the Rohlin property for autmorphisms. We show that the crossed products obtained by au…

math.OA2009★ 3 cited

A generalization of the Jiang-Su construction

Yasuhiko Sato

Let $G$ be a countable abelian group. We construct a unital simple projectionless C*-algebra $A$ with a unique tracial state, that satisfies $(K_{0} (A), [1_{A}]) ≅ (Z, 1)$ , $K_1(…

math.OA2008★ 2 cited

Certain aperiodic automorphisms of unital simple projectionless C*-algebras

Yasuhiko Sato

Let $G$ be an inductive limit of finite cyclic groups and let $A$ be a unital simple projectionless C*-algebra with $K_{1} (A) ≅ G$ and with a unique tracial state, as constructed…