Combinatorics Seminar 2017

Speaker: Danrun Huang (黄旦润), St. Cloud State University

Date: Wed, Oct 11, 2017

Time: 16:00 - 16:45

Venue: Middle Meeting Room

Title: Flow equivalence of shifts of finite type and Cuntz-Krieger algebras I: Introduction


Shifts of finite type (SFT) and Cuntz-Krieger (CK) algebras are important building blocks in symbolic dynamics and $C^\ast$-algebras, respectively. The historic classification interplays between these two different disciplines, dubbed “internal classifications” for $C^*$-algebras by some experts, continue to inspire today. This tutorial talk is for a general audience in mathematics. In Part I, we will introduce related basics of symbolic dynamics and $C^\ast$-algebras, including some key invariants, such as the Bowen-Franks groups of SFT and the K-theory of the CK-algebras. What is common to SFT, CK-algebras and Combinatorics? Finite graphs!