For more information about this meeting, contact Sergei Tabachnikov.
| Title: | Dimension theories for C*-algebras |
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| Seminar: | Department of Mathematics Colloquium |
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| Speaker: | Andrew Toms, York University, Toronto |
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| Abstract: |
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| 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 |
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| Date: | 10 / 09 / 2008 |
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| Time: | 04:00pm - 05:00pm |
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