Lin 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  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

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