Read e-book online An Introduction to K-Theory for C*-Algebras (London PDF

March 7, 2018 | Functional Analysis | By admin | 0 Comments

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 booklet provides an easy advent to this attention-grabbing and swiftly turning out 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 mirror the houses of A in lots of methods. This booklet covers the elemental houses of the functors K0 and K1 and their interrelationship. purposes of the idea contain Elliott's category theorem for AF-algebras, and it's proven that every pair of countable Abelian teams arises because the K-groups of a few C*-algebra. the idea is definitely illustrated with one hundred twenty workouts and examples, making the publication excellent for starting graduate scholars operating in sensible research, particularly operator algebras, and for researchers from different components of arithmetic who are looking to know about this subject.

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