02866nam 2200577 450 991078885780332120170822144317.01-4704-0577-6(CKB)3360000000465147(EBL)3114112(SSID)ssj0000888772(PQKBManifestationID)11932373(PQKBTitleCode)TC0000888772(PQKBWorkID)10865674(PQKB)11008401(MiAaPQ)EBC3114112(RPAM)16096411(PPN)195418530(EXLCZ)99336000000046514720150417h20092009 uy 0engur|n|---|||||txtccrApproximate homotopy of homomorphisms from C(X) into a simple C*-algebra /Huaxin LinProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (131 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 205, Number 963"Volume 205, Number 963 (second of 5 numbers)."0-8218-5194-2 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 205, Number 963.Homotopy theoryHomomorphisms (Mathematics)C*-algebrasHomotopy theory.Homomorphisms (Mathematics)C*-algebras.514.24Lin Huaxin1956-1494151MiAaPQMiAaPQMiAaPQBOOK9910788857803321-algebra3836192UNINA