For more information about this meeting, contact Becky Halpenny.
| Title: | "Tensor Products of C*-Algebras" |
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| Seminar: | Ph.D. Oral Comprehensive Examination |
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| Speaker: | Aleksey Zelenberg, Adviser: Nate Brown, Penn State |
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| Abstract Link: | http:// |
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| Abstract: |
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| Nuclearity has been a central concept in the classification efforts of C*-algebras via K-theoretic invariants. A classical example of this is Elliot's theorem, which provides a complete classification of AF algebras by their ordered K_0 groups. This initiated an ongoing effort to classify (certain classes of) algebras in similar ways. Nuclear C*-algebras are prime candidates for such classification efforts due to their finite dimensional approximation properties. As such, it is important to have a framework to understand when certain algebras are nuclear. Fortunately, a theorem of Choi, Effros, and Kirchberg establishes an equivalence between nuclear C*-algebras A and those algebras for which there is a unique tensor product norm on the algebraic tensor product of A and any other C* algebra B. In this talk, I will go into some of the details involved with these ideas, give examples, and speak briefly about the connection to (discrete) group algebras. |
Room Reservation Information
| Room Number: | 103 Osmond Laboratory |
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| Date: | 04 / 11 / 2012 |
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| Time: | 08:30am - 10:30am |
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