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Directed Graphs, Variations on Directed Graphs, and Their C*-Algebras - Part I

Offered By: Banach Center via YouTube

Tags

C* algebras Courses Graph Theory Courses Dynamical Systems Courses Topology Courses Operator Theory Courses

Course Description

Overview

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Explore the intricate world of directed graphs and their C*-algebras in this comprehensive two-hour lecture by Jack Spielberg from Arizona State University. Delve into variations on directed graphs, starting with an introduction and outline before uncovering the origin myth and diving into proofs. Examine key concepts such as boundaries, partial dynamics, topological freedom, and amenability. Investigate open sets, standard procedures, and Bernoulli shifts. Analyze directed paths, matrix amorphisms, and shifts of finite type. Gain a deeper understanding of the mathematical identities associated with these structures in this in-depth presentation from the Banach Center.

Syllabus

Intro
Outline
The origin myth
Proof
Boundary
Partial Dynamics
Topological Free
Amenability
Open set
What do we know
Standard procedures
Bernoulli shifts
Directed paths
A
Matrix
Amorphism
Shift of finite type
Identities


Taught by

Banach Center

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