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|
|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
|Date:||10 / 09 / 2008|
|Time:||04:00pm - 05:00pm|