On approximately inner automorphisms of certain crossed product $C\sp *$-algebras

APPROXIMATELY INNER sigma-DYNAMICS ON C* ALGEBRAS

On Crossed Product of Algebras

The concept of a crossed tensor product of algebras is studied from a few points of views. Some related constructions are considered. Crossed enveloping algebras and their representations are discussed. Applications to the noncommutative geometry and particle systems with generalized statistics are indicated. PACS. 02. 40. +m Differential geometry in theoretical physics. PACS. 03. 65. Fd Algebr...

approximately inner sigma-dynamics on c* algebras

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Crossed Product Duality for Partial C-automorphisms

For partial automorphisms of C∗-algebras, Takai-Takesaki crossed product duality tends to fail, in proportion to the extent to which the partial automorphism is not an automorphism.

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.