approximately inner sigma-dynamics on c* algebras

APPROXIMATELY INNER sigma-DYNAMICS ON C* ALGEBRAS

Approximately Quasi Inner Generalized Dynamics on Modules

We investigate some properties of approximately quasi inner generalized dynamics and quasi approximately inner generalized derivations on modules. In particular, we prove that if A is a C*-algebra, is the generator of a generalized dynamics on an A-bimodule M satisfying and there exist two sequences of self adjoint elements in A such that for all in a core for , , then is approx...

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.

approximately quasi inner generalized dynamics on modules

we investigate some properties of approximately quasi inner generalized dynamics and quasi approximately inner generalized derivations on modules. in particular, we prove that if a is a c*-algebra, is the generator of a generalized dynamics on an a-bimodule m satisfying and there exist two sequences of self adjoint elements in a such that for all in a core for , , then is approximately quasi in...

A Note on Approximately Divisible C∗-algebras

Abstract: Let A be a separable, unital, approximately divisible C∗-algebra. We show that A is generated by two self-adjoint elements and the topological free entropy dimension of any finite generating set of A is less than or equal to 1. In addition, we show that the similarity degree of A is at most 5. Thus an approximately divisible C∗-algebra has an affirmative answer to Kadison’s similarity...

On the C*-envelope of approximately finite-dimensional operator algebras

The C*-envelope of the limit algebra (or limit space) of a contrac-tive regular system of digraph algebras (or digraph spaces) is shown to be an approximately finite C*-algebra and the direct system for the C*-envelope is determined explicitly.