K-Theory for Operator Algebras

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Focusing on the advancements in operator K-theory, this book explores its significant impact on operator algebras and noncommutative topology. It highlights the integration of topology and operator algebra, showcasing the stability and maturity of the theory despite its recent emergence. The text aims to provide a comprehensive treatment of the K-theory of Banach algebras and extensions of C*-algebras, along with advanced aspects of Kasparov's operator K-theory. Applications are briefly outlined, emphasizing the theory's relevance and potential for future developments.