The lectures are planned to be a gentle introduction to the theoryof Hilbert C*modules, with an emphasis on their dynamical interpretationand universal C*algebras they model.Amongst the topics we plan to cover are:i) Basic facts on Hilbert modules  Examples. Interpretation of Hilbert C*modules as noncommutative vector bundles. Adjointable maps.ii) C*correspondences and internal tensor product of Hilbert modules. Interpretation of C*correspondences as dynamical objects  noncommutative topological graphs. Induced representations.iii) Hilbert bimodules and Morita equivalence.iv) C*algebras associated to actions of C*correspondences  Fell bundles, product systems, CuntzPimsner algebras.Time permitting we will also mention how to interpret Ktheoryand KKtheory from the Hilbert module perspective.
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Invitation to Hilbert C*modules and CuntzPimsner algebras
Research Group:
Bartosz Kosma Kwasniewski
Institution:
University of Bialystok
Location:
A136
Schedule:
Friday, May 18, 2018  11:00
Monday, May 21, 2018  14:30
Monday, May 28, 2018  14:30
Abstract:
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Don Zagier (ICTP)
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Gregorio Malajovich
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Guido De Philippis
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