PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:Dimension theories for C*-algebras
Seminar:Department of Mathematics Colloquium
Speaker:Andrew Toms, York University, Toronto
Abstract:
The study of C*-algebras may be regarded as noncommutative topology. As such, is it natural to ask for C*-algebra generalisations of notions from the study of locally compact Hausdorff spaces. One such notion is the covering dimension of the space. In this talk I will survey various methods of generalising this concept to C*-algebras, and also variants on these methods which account more effectively for the "matricial" structure of C*-algebras. We will define dimensions for C*-algebras by topological, operator algebraic, and homological means, and see how they are sensitive to differences between steadily more exotic C*-algebras. Finally, we will discuss the relationships between these dimension theories, and their bearing on K-theoretic rigidity phenomena.

Room Reservation Information

Room Number:MB114
Date:10 / 09 / 2008
Time:04:00pm - 05:00pm