K-Theory for Operator Algebras

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Focusing on K-theory's impact, this book offers a comprehensive treatment of its application in operator algebras, bridging functional analysis with broader mathematical fields like geometry and topology. It serves as an essential resource for students and mathematicians of varying expertise, featuring revised content and an updated reference list. Key topics include extensions, Kasparov's bivariant KK-theory, AF algebras, axiomatic K-theory, and the Universal Coefficient Theorem, all presented with an emphasis on motivation, intuition, and practical examples.