2020/07/21 by Tadeu Zavistanovicz Almeida, Almeida, Tadeu Zavistanovicz, Marcelo Sobottka +1 · 1 citation
Mathematics · #37B10 #37B15 #37B99 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2007.10889
openalex publication_date 2020/07/21 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
In this work we propose a new type of shift spaces, called blur shift spaces, where one can represent with a single symbol an entire set of infinite symbols. Such shift spaces are constructed from classical shift spaces, by choosing some sets of infinitely many symbols that will be represented by a new symbol, and then defining a convenient topology. The shift spaces we are proposing generalize ideas presented previously by Ott, Tomforde and Willis, and by Gonçalves and Royer, which were used to find isomorphism between C^*-algebras associated to some classes of shift spaces. In particular, blur shifts can be used as a compactification scheme for classical shift spaces.