Memoirs of the American mathematical society; vol.205, N 963 (Providence, 2010). - ОГЛАВЛЕНИЕ / CONTENTS
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ОбложкаLin H. Approximate homotopy of homomorphisms from C(X) into a simple C*-algebra. - Providence: American Mathematical Society, 2010. - v, 131 p. - (Memoirs of the American mathematical society; vol.205, N 963). - Bibliogr.: p.129-131. - ISBN 978-0-8218-5194-4; 0065-9266
 

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Оглавление / Contents
 
Chapter 1. Prelude .............................................. 1

1. Introduction ................................................. 1
2. Conventions and some facts ................................... 4
3. The Basic Homotopy Lemma for dim(X) ≤ 1 ..................... 12

Chapter 2. The Basic Homotopy Lemma for higher dimensional
           spaces .............................................. 27

4. X-theory and traces ......................................... 27
5. Some finite dimensional approximations ...................... 32
6. The Basic Homotopy Lemma - full spectrum .................... 39
7. The Basic Homotopy Lemma - finite CW complexes .............. 46
8. The Basic Homotopy Lemma - compact metric spaces ............ 51
9. The constant S and an obstruction behind the measure 
   distribution ................................................ 56

Chapter 3. Purely infinite simple C*-algebras .................. 65

10. Purely infinite simple C*-algebras ......................... 65
11. Basic Homotopy Lemma in purely infinite simple C*-
    algebras ................................................... 72

Chapter 4. Approximate homotopy ................................ 79

12. Homotopy length ............................................ 79
13. Approximate homotopy for homomorphisms ..................... 87
14. Approximate homotopy for approximately multiplicative
    maps ....................................................... 95

Chapter 5. Super Homotopy ..................................... 101

15. Super Homotopy Lemma - the purely infinite case ........... 101
16. Super Homotopy Lemma - the finite case .................... 108

Chapter 6. Postlude ........................................... 117

17. Non-commutative cases ..................................... 117
18. Concluding remarks ........................................ 126
17. Bibliography .............................................. 129


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