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Delve into the intricacies of K-Theory and C*-Algebras in this 52-minute graduate-level lecture delivered by George Elliott from the University of Toronto. As part of the "Thematic Program on Operator Algebras and Applications" at the Fields Institute, explore advanced concepts in operator theory and algebraic structures. Gain insights into the fifth installment of this comprehensive course, building upon previous lectures to deepen understanding of these complex mathematical topics. Engage with cutting-edge research and theoretical frameworks in the field of operator algebras, essential for graduate students and researchers in mathematical physics and functional analysis.