# Math 6395: C*-algebras associated with Dynamical Systems, Spring 2016

## Basic Info

Instructor: Dr. Mark Tomforde
Office: 601 PGH
Office Hours: By appointment.
Lecture: TuTh 4:00PM--4:50PM in Room 2 AH

### Course Description:

We will discuss various classes of C*-algebras constructed from dynamical systems, and examine the interplay that exists between the analysis, algebra, and dynamics. The course will start with an introduction to symbolic dynamics and discrete dynamical systems, and afterward we will construct classes of C*-algebras (e.g., Cuntz-Krieger algebras, graph C*-algebras, crossed products by the integers) that are intimately related to the dynamical systems.

### Textbook:

An electronic copy of the textbook will be given to you. If you want to by a physical copy, there are fairly inexpensive used copies available on Amazon.com. As with any textbook, there are a few errors throughout the book. The following are errata and clarifications found since the second printing.

List of Errata for "An Introduction to Symbolic Dynamics and Coding"

There is also a website for the book that you may find useful.

### Material for Symbolic Dynamics Portion of Course:

From Jan. 19 to Feb. 18 Dr. Ott will lead discussion sections where you can talk about the reading and work problems.

Sections from the textbook to be covered.

Chapter 1, Sec. 1.1--1.5
Chapter 2, Sec. 2.1--2.5
Chapter 6, Sec. 6.1--6.3
Chapter 7, Sec. 7.1--7.5

If you're ambitious, you can also look ahead to Sec. 13.6, 13.8, 13.9

Here are problems from Chapters 1 and 2 that look interesting. I may add problems from Ch. 6 and Ch. 7 later, depending on how fast the course progresses.

Problems:
1.1.1
1.2.2
1.2.3
1.2.4
1.2.5
1.3.2
1.4.1
1.4.2
1.4.4
1.4.5
1.5.1
1.5.2
1.5.3
1.5.4
1.5.5
1.5.6
1.5.7
2.1.1
2.1.2
2.1.3
2.1.5
2.1.6
2.2.1
2.2.2
2.2.3
2.2.4
2.2.6
2.2.7
2.2.8
2.2.9
2.2.10
2.2.14
2.3.1
2.3.2
2.3.3
2.3.4
2.3.5
2.3.6
2.4.1
2.4.2
2.4.3
2.4.4
2.4.5
2.4.6
2.4.7
2.4.9

### Material for C*-algebras Portion of Course:

To be added after Feb. 22 when Dr. Tomforde returns and begins to lecture.