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Delve into the advanced mathematical concepts of K-Theory and C*-Algebras in this 50-minute graduate-level lecture delivered by Professor George Elliott from the University of Toronto. Explore intricate topics within operator algebras as part of the Fields Institute's "Thematic Program on Operator Algebras and Applications." Gain insights into the latest developments and applications in this specialized field of mathematics. Enhance your understanding of abstract algebraic structures and their connections to functional analysis through this comprehensive presentation.