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Explore the concept of tracially complete C*-algebras in this 52-minute lecture presented by Christopher Schafhauser from the University of Nebraska-Lincoln. Delivered on August 28, 2023, as part of the Workshop on Operator Algebras and Applications: Connections with Logic at the Fields Institute, this talk delves into advanced topics in operator algebra theory. Gain insights into the properties and applications of these mathematical structures, and understand their significance in the broader context of operator algebras. Suitable for researchers and graduate students in mathematics, particularly those interested in functional analysis and operator theory.