Approximate Homotopy of Homomorphisms from C(X) into a Simple C^{*}-Algebra.

Intro -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.