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1. C*-algebra theory 2. Projections and unitary elements 3. The K0-group of a unital C*-algebra 4. The functor K0 5. The ordered Abelian group K0(A) 6. Inductive Limit C*-algebra 7. Classification of AF-algebras 8. The functor K1 9. The index map 10. The higher K-functors 11. Bott periodicity 12. The six-term exact sequence 13. Dimension drop algebras.