Unifying interval maps and branching systems with applications to relative graph C*-algebras

التفاصيل البيبلوغرافية
العنوان: Unifying interval maps and branching systems with applications to relative graph C*-algebras
المؤلفون: Ramos, Carlos Correia, Gonçalves, Daniel, Martins, Nuno, Pinto, Paulo R.
سنة النشر: 2022
مصطلحات موضوعية: Mathematics - Operator Algebras, Mathematics - Dynamical Systems
الوصف: We describe Markov interval maps via branching systems and develop the theory of relative branching systems, characterizing when the associated representations of relative graph C*-algebras are faithful. When the Markov interval maps $f$ have escape sets, we use our results to characterize injectivity of the associated relative graph algebra representations, improving on previous work by the first, third, and fourth authors.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2206.09014
رقم الانضمام: edsarx.2206.09014
قاعدة البيانات: arXiv