Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Petrakos Spyridon
Supervisors info:
Κατάβολος Αριστείδης, Ομότιμος Καθηγητής, Τμήμα Μαθηματικών, Σχολή Θετικών Επιστημών ΕΚΠΑ
Original Title:
Boundary Actions and C*-Algebraic Properties of Discrete Groups
Translated title:
Boundary Actions and C*-Algebraic Properties of Discrete Groups
Summary:
This work is concerned with the interplay between dynamical and C*-algebraic properties of discrete groups. More specifically, for a discrete group Γ, characterisations of C*-simplicity, the unique trace property, and exactness are given, relating these properties with the way Γ acts on its universal topological boundary, in the sense of Furstenberg. The cornerstone of these characterisations is the identification between the Furstenberg boundary and the Hamana boundary of Γ, a topological space arising in the theory of Γ-injective envelopes.
Main subject category:
Science
Keywords:
Furstenberg boundary, Hamana boundary, C*-simplicity, unique trace property, exactness, C*-algebras, discrete groups
