Update 26 September: Starting Wednesday 28 September, we will meet in 209 Deady (not 206 Deady). Also, the enrollment limit is now supposed to be 27.
A general comment: This course is about topological K-theory, not the K-theory of C*-algebras.
To the topologists: I will make only occasional comments about the relation to C*-algebras, which can safely be ignored if you don't know about or are not interested in C*-algebras.
To the functional analysts: I will make occasional comments about the relation to K-theory of Banach algebras. Since they will be brief, they will not be meaningful unless you have already seen K-theory of C*-algebras or Banach algebras. However, some of the methods (in particular involving homotopy of mapping cones and mapping cylinders), while not normally presented in a first introduction to K-theory of C*-algebras, are easily adaptable to the C*-algebra setting and play a very important role there. In any case, anyone making serious use of K-theory of C*-algebras should understand its connection with topology.
Course information:
Course outline:
Homework problems: pdf; AMSLaTeX. Last updated: 25 September 2016. Warning: Almost no proofreading has been done!
Possible topics for a course on equivariant K-theory: pdf; AMSLaTeX. (This was put together at the request of a student several years ago. The course was never offered, and I am not aware of there being enough interest to offer it in the future. Just take the list of topics as telling you about one further direction in K-theory which exists.) Warning: No proofreading has been done!
This page maintained by N. Christopher Phillips, email.
Last significant change 25 September 2016.