A general method for constructing essential uniform algebras

@article{Feinstein2015AGM,
  title={A general method for constructing essential uniform algebras},
  author={Joel F. Feinstein and Alexander J. Izzo},
  journal={Studia Mathematica},
  year={2015}
}
A general method for constructing essential uniform algebras with prescribed properties is presented. Using the method, the following examples are constructed: an essential, natural, regular uniform algebra on the closed unit disc; an essential, natural counterexample to the peak point conjecture on each manifold of dimension at least three; and an essential, natural uniform algebra on the unit sphere in C^3 containing the ball algebra and invariant under the action of the 3-torus. These… 
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