New PDF release: An Introduction to K-Theory for C*-Algebras (London

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By M. Rørdam,F. Larsen,N. Laustsen

during the last 25 years K-theory has develop into an built-in a part of the examine of C*-algebras. This ebook provides an common advent to this fascinating and speedily starting to be sector of arithmetic. primary to K-theory is the organization of a couple of Abelian teams, K0(A) and K1(A), to every C*-algebra A. those teams replicate the homes of A in lots of methods. This ebook covers the elemental houses of the functors K0 and K1 and their interrelationship. purposes of the speculation comprise Elliott's class theorem for AF-algebras, and it truly is proven that every pair of countable Abelian teams arises because the K-groups of a few C*-algebra. the speculation is definitely illustrated with a hundred and twenty workouts and examples, making the e-book perfect for starting graduate scholars operating in practical research, specially operator algebras, and for researchers from different components of arithmetic who are looking to know about this subject.

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An Introduction to K-Theory for C*-Algebras (London Mathematical Society Student Texts) by M. Rørdam,F. Larsen,N. Laustsen

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