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

By M. Rørdam,F. Larsen,N. Laustsen

ISBN-10: 0521783348

ISBN-13: 9780521783347

ISBN-10: 0521789443

ISBN-13: 9780521789448

over the past 25 years K-theory has develop into an built-in a part of the research of C*-algebras. This booklet supplies an simple creation to this fascinating and speedily growing to be zone 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 e-book covers the elemental houses of the functors K0 and K1 and their interrelationship. purposes of the idea comprise Elliott's class theorem for AF-algebras, and it really 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 one hundred twenty routines and examples, making the publication perfect for starting graduate scholars operating in useful 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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