1.

Record Nr.

UNINA9910480626403321

Autore

Lin Huaxin <1956->

Titolo

Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2009

©2009

ISBN

1-4704-0577-6

Descrizione fisica

1 online resource (131 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 205, Number 963

Disciplina

514.24

Soggetti

Homotopy theory

Homomorphisms (Mathematics)

C*-algebras

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 205, Number 963 (second of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Abstract""; ""Chapter 1. Prelude""; ""1. Introduction""; ""2. Conventions and some facts""; ""3. The Basic Homotopy Lemma for dim(X)1""; ""Chapter 2. The Basic Homotopy Lemma for higher dimensional spaces""; ""4. K-theory and traces""; ""5. Some finite dimensional approximations""; ""6. The Basic Homotopy Lemma --- full spectrum""; ""7. The Basic Homotopy Lemma --- finite CW complexes""; ""8. The Basic Homotopy Lemma --- compact metric spaces""; ""9. The constant  and an obstruction behind the measure distribution""; ""Chapter 3. Purely infinite simple C*-algebras""

""10. Purely infinite simple C*-alegbras""""11. Basic Homotopy Lemma in purely infinite simple C*-algebras""; ""Chapter 4. Approximate homotopy""; ""12. Homotopy length""; ""13. Approximate homotopy for homomorphisms""; ""14. Approximate homotopy for approximately multiplicative maps""; ""Chapter 5. Super Homotopy""; ""15. Super Homotopy Lemma --- the purely infinite case""; ""16. Super Homotopy Lemma --- the finite case""; ""Chapter 6. Postlude""; ""17. Non-commutative cases""; ""18. Concluding remarks""; ""Bibliography""