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Currently displaying 1 – 4 of 4

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The Rohlin property for automorphisms of UHF algebras.

Akitaka Kishimoto — 1995

Journal für die reine und angewandte Mathematik

Variational principle for quasi-local algebras over the lattice

Akitaka Kishimoto — 1979

Annales de l'I.H.P. Physique théorique

Derivations, dynamical systems, and spectral restrictions.

Derek W. Robinson; Akitaka Kishimoto — 1985

Mathematica Scandinavica

A $C^{*}$ -algebraic Schoenberg theorem

Ola Bratteli; Palle E. T. Jorgensen; Akitaka Kishimoto; Donald W. Robinson — 1984

Annales de l'institut Fourier

Let $𝔄$ be a $C^{*}$ -algebra, $G$ a compact abelian group, $τ$ an action of $G$ by $*$ -automorphisms of $𝔄, 𝔄^{τ}$ the fixed point algebra of $τ$ and $𝔄_{F}$ the dense sub-algebra of $G$ -finite elements in $𝔄$ . Further let $H$ be a linear operator from $𝔄_{F}$ into $𝔄$ which commutes with $τ$ and vanishes on $𝔄^{τ}$ . We prove that $H$ is a complete dissipation if and only if $H$ is closable and its closure generates a $C_{0}$ -semigroup of completely positive contractions. These complete dissipations are classified in terms of certain twisted negative definite...

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