A. Kishimoto

activity

19982005

collaborators

7 papers

math.OA2005

Rohlin flows on the Cuntz algebra $O_{\infty}$

Ola Bratteli, Akitaka Kishimoto, Derek W. Robinson

It is shown that certain quasi-free flows on the Cuntz algebra $O_{\infty}$ have the Rohlin property and therefore are cocycle-conjugate with each other. This, in particular, shows t…

math.OA2005

Approximate AF flows

Akitaka Kishimoto

When $α$ is a flow on a unital AF algebra $A$ such that there is an increasing sequence of finite-dimensional $α$ -invariant C*-subalgebras of $A$ with dense union, we call $α$ an A…

math.OA2001

Homogeneity of the pure state space of a separable C*-algebra

A. Kishimoto, N. Ozawa, S. Sakai

We prove that the pure state space is homogeneous under the action of the automorphism group (or the subgroup of asymptotically inner automorphisms) for all the separable simple C*…

math.OA2001

Homegeneity of the pure state space for separable C*-algebras

H. Futamura, N. Kataoka, A. Kishimoto

We prove that the pure state space is homogeneous under the action of the automorphism group (or a certain smaller group of approximately inner automorphisms) for a fairly large cl…

math.OA1999

Homogeneity of the pure state space of the Cuntz algebra

Ola Bratteli, Akitaka Kishimoto

We prove that the automorphism group of a Cuntz algebra of finite order acts transitively on the set of pure states which are invariant under some gauge actions (which may depend o…