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Delve into the advanced concepts of K-Theory and C*-Algebras in this graduate-level lecture delivered by George Elliott from the University of Toronto. Explore complex mathematical theories and their applications in operator algebras as part of the "Thematic Program on Operator Algebras and Applications" hosted by the Fields Institute. Gain insights from a renowned expert in the field during this 42-minute session, which forms a crucial component of a comprehensive graduate course. Enhance your understanding of operator K-theory and its interconnections with C*-algebras, preparing you for further research and advanced study in this specialized area of mathematics.