A. Kishimoto

activity

19962016

most citedThe Ext class of an approximately inner automorphism, II

11 citations · 42 across the 19 of their papers we have counts for

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15 papers · 1 filter

math.OA2016★ 1 cited

Topologically irreducible representations of the Banach *-algebra associated with a dynamical system

Aki Kishimoto, Jun Tomiyama

We describe (infinite-dimensional) irreducible representations of the crossed product C $^{*}$ -algebra associated with a topological dynamical system (based on $Z$ ) and we show that t…

math.OA2014

Approximately inner flows

A. Kishimoto

When $α$ is an approximately inner flow on a C $^{*}$ -algebra $A$ and commutes with an automorphism $γ$ of $A$ we may extend $α$ to a flow $α ˉ$ on the crossed product $A \times_{γ} Z$ …

math.OA2008

Quasi-diagonal flows

A. Kishimoto, D. W. Robinson

We introduce two notions for flows on quasi-diagonal C*-algebras, quasi-diagonal and pseudo-diagonal flows; the former being apparently stronger than the latter. We derive basic fa…

math.OA2007

Approximately inner derivations

Ola Bratteli, Akitaka Kishimoto, Derek W. Robinson

Let $α$ be an approximately inner flow on a $C^{*}$ algebra $A$ with generator $δ$ and let $δ_{n}$ denote the bounded generators of the approximating flows $α^{(n)}$ . We analyze the st…

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…