This is a second course in operator algebras that will include the following topics: tensor products, complete positive maps, nuclearity, injectivity, hyperfiniteness, group C*-algebras, group von Neumann algebras, crossed products, amenability, Z-stability.

Main text:

• N. Brown and N. Ozawa, C*-Algebras and Finite-Dimensional Approximation

Additional resources:

• G. J. Murphy, C*-Algebras and Operator Theory
• R. V. Kadison and J. R. Ringrose, Fundamentals of the Theory of Operator Algebras, I and II
• M. Takesaki, Theory of Operator Algebras I
• K. Davidson, C*-Algebras by Example
• G. Pisier, Introduction to Operator Space Theory

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