Download An Introduction to K-Theory for C*-Algebras (London by M. Rørdam,F. Larsen,N. Laustsen PDF

By M. Rørdam,F. Larsen,N. Laustsen

over the past 25 years K-theory has turn into an built-in a part of the learn of C*-algebras. This publication supplies an straightforward advent to this attention-grabbing and speedily starting to be zone of arithmetic. basic to K-theory is the organization of a couple of Abelian teams, K0(A) and K1(A), to every C*-algebra A. those teams mirror the houses of A in lots of methods. This publication covers the fundamental houses of the functors K0 and K1 and their interrelationship. functions 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 easily illustrated with one hundred twenty workouts and examples, making the ebook perfect for starting graduate scholars operating in sensible research, specifically operator algebras, and for researchers from different parts of arithmetic who are looking to find out about this subject.

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