By Bruce Blackadar
K-theory has helped convert the idea of operator algebras from an easy department of sensible research to a topic with wide applicability all through arithmetic, specially in geometry and topology, and lots of mathematicians of numerous backgrounds needs to research the basic elements of the idea. This ebook is the single accomplished remedy of K-theory for operator algebras, and is meant to aid scholars, non experts, and experts research the topic. this primary paperback printing has been revised and elevated and includes an up to date reference record. This publication develops K-theory, the idea of extensions, and Kasparov's bivariant KK-theory for C*-algebras. targeted themes lined contain the speculation of AF algebras, axiomatic K-theory, the common Coefficient Theorem, and E-theory. even supposing the booklet is technically entire, motivation and instinct are emphasised. Many examples and purposes are mentioned.
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