شماره ركورد كنفرانس :
4338
عنوان مقاله :
A new class of $C^*$-Dynamical systems and their ground states
پديدآورندگان :
Mosadeq Maysam mosadeq@mshdiau.ac.ir Department of Mathematics, Behbahan Branch, Islamic Azad University, Behbahan, Iran;
كليدواژه :
$\sigma$ , inner endomorphism , $\sigma$ , $C^*$ , Dynamics , $\sigma$ , derivation , $\sigma$ , ground state
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
In this talk, first we introduce the concept of $\sigma$-$C^*$-dynamical system and present some basic results concerning this notion. Applying the concept of $\sigma$-inner endomorphisms, we demonstrate the definition of approximately inner $\sigma$-$C^*$-dynamical system and its associated $\sigma$-ground state. In particular, we provide the existence of a large class of non $\sigma$-inner approximating so-called dynamical systems without their associated $\sigma$-ground states.