K-Theoretic Characterization of C*-Algebras with Approximately Inner Flip

APPROXIMATELY INNER sigma-DYNAMICS ON C* ALGEBRAS

approximately inner sigma-dynamics on c* algebras

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Existence of ground states for approximately inner two--parameter $C_0$--groups on $C^*$--algebras

In this paper, we generalize the definitions of approximately inner $C_0$-groups and their ground states to the two- parameter case and study necessary and sufficient conditions for a state to be ground state. Also we prove that any approximately inner two- parameter $C_0$--group must have at least one ground state. Finally some applications are given.

Localization C∗-algebras and K-theoretic Duality

Based on the localization algebras of Yu, and their subsequent analysis by Qiao and Roe, we give a new picture of KK-theory in terms of time-parametrized families of (locally) compact operators that asymptotically commute with appropriate representations.

Ergodic Theoretic Characterization of Left Amenable Lau Algebras