Graphs, stable permutations, and Cuntz algebra automorphisms

Seminar
Speaker
Francesco Brenti (University of Rome II)
Date
12/12/2021 - 15:30 - 14:00Add to Calendar 2021-12-12 14:00:00 2021-12-12 15:30:00 Graphs, stable permutations, and Cuntz algebra automorphisms Stable permutations are a class of permutations that arises in the study of the automorphism group of the Cuntz algebra. In this talk I will define stable permutations, explain the connection to the automorphisms of the Cuntz algebra, and describe the main results known about them. I will then present a characterization of stable permutations in terms of certain associated graphs. As a consequence of this characterization I will prove a conjecture in [Advances in Math., 381(2021) 107590], and I will characterize explicitly stable 4 and 5-cycles. This is joint work with Roberto Conti and Gleb Nenashev. zoom אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
zoom
Abstract

Stable permutations are a class of permutations that arises
in the study of the automorphism group of the Cuntz algebra.
In this talk I will define stable permutations, explain the
connection to the automorphisms of the Cuntz algebra, and
describe the main results known about them. I will then
present a characterization of stable permutations in terms
of certain associated graphs. As a consequence of this
characterization I will prove a conjecture in [Advances in Math.,
381(2021) 107590], and I will characterize explicitly stable
4 and 5-cycles.

This is joint work with Roberto Conti and Gleb Nenashev.

תאריך עדכון אחרון : 08/12/2021