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Delve into the advanced concepts of K-Theory and C*-Algebras in this 54-minute graduate-level lecture delivered by Professor George Elliott from the University of Toronto. Explore intricate mathematical theories and their applications as part of the Fields Institute's "Thematic Program on Operator Algebras and Applications." Gain valuable insights into this specialized field of mathematics, building upon previous knowledge and preparing for further study in operator theory and related areas. Engage with complex ideas presented by a renowned expert in the field, enhancing your understanding of abstract algebra and its connections to functional analysis.