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Banach algebras and spectral theory
The Gelfand representation
C*-algebra basics
Positive elements
Positive linear functionals and representations
Weak and strong operator topologies and von Neumann algebras
Tensor products for C*-algebras
Completely positive maps
Inductive limits and approximately finite (AF) C*-algebras
Group C*-algebras and crossed products
Cuntz algebras
Quasidiagonal C*-algebras
K-theory for unital C*-algebras
Classification of AF-algebras
Nuclear dimension
Strongly self-absorbing algebras
The Jiang-Su algebra
Strict comparison and the Cuntz semigroup
The Classification Theorem and the Toms-Winter Theorem.

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