ساختار حالت‌های پایا و ارگودیک برای *C-دستگاه‌های دینامیکی

نوع مقاله : مقاله پژوهشی

نویسنده

گروه ریاضی، واحد اندیمشک، دانشگاه آزاد اسلامی، اندیمشک، ایران

چکیده

در این مقاله به معرفی حالت‌های پایا و ارگودیک متناظر با یک *C-دستگاه دینامیکی پرداخته و ساختار این مجموعه‌ها را مطالعه می‌نماییم. برای این کار از مفهوم بالابر متناظر با یک *C-دستگاه دینامیکی استفاده می‌نماییم.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

The structure of invariant and ergodic states for C*-dynamical systems

نویسنده [English]

  • Mohammad Nekoufar
Department of Mathematics, Andimeshk Branch, Islamic Azad University, Andimeshk, Iran
چکیده [English]

In this paper, the invariant and ergodic states corresponding to a C*-dynamical system are introduced and the structures of these sets are studied. To do this, we use the concept of the lift of a C*-dynamical system.

کلیدواژه‌ها [English]

  • C*-dynamical system
  • The lift of a C*-dynamical system
  • Invariant state
  • Ergodic state
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