| Description |
1 online resource (xii, 242 pages) : illustrations |
| Series |
London Mathematical Society student texts ; 49 |
|
London Mathematical Society student texts ; 49.
|
| Contents |
1. C*-algebra theory -- 2. Projections and unitary elements -- 3. The K0-group of a unital C*-algebra -- 4. The functor K0 -- 5. The ordered Abelian group K0(A) -- 6. Inductive limit C*-algebras -- 7. Classification of AF-algebras -- 8. The functor K1 -- 9. The index map -- 10. The higher K-functors -- 11. Bott periodicity -- 12. The six-term exact sequence -- 13. Inductive limits of dimension drop algebras |
| Summary |
"Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics |
|
Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra."--Pub. desc |
| Bibliography |
Includes bibliographical references (pages 231-233) and indexes |
| Notes |
English |
|
Print version record |
| Subject |
K-theory.
|
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C*-algebras.
|
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MATHEMATICS -- Algebra -- Linear.
|
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C*-algebras
|
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K-theory
|
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K-Theorie
|
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C-Stern-Algebra
|
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K-theorie.
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C*-algebra's.
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C* ÁLGEBRAS (ANÁLISE FUNCIONAL)
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K-théorie.
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C*-algèbres.
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| Form |
Electronic book
|
| Author |
Larsen, F. (Flemming), 1971-
|
|
Laustsen, N. (Niels), 1969-
|
| ISBN |
9781107363090 |
|
1107363098 |
|
9780511826030 |
|
0511826036 |
|
9780511623806 |
|
0511623801 |
|
9781107368002 |
|
1107368006 |
|
1316087816 |
|
9781316087817 |
|
1107369770 |
|
9781107369771 |
|
1299409180 |
|
9781299409187 |
|
1107365546 |
|
9781107365544 |
|
