Automorphisms and dilation theory of triangular UHF algebras
non-selfadjoint operator algebras, UHF algebras
We study the triangular subalgebras of UHF algebras which provide new examples of algebras with the Dirichlet property and the Ando property. This in turn allows us to describe the semicrossed product by an isometric automorphism. We also study the isometric automorphism group of these algebras and prove that it decomposes into the semidirect product of an abelian group by a torsion free group. Various other structure results are proven as well.
Ramsey, C. "Automorphisms and dilation theory of triangular UHF algebras", Integral Equations and Operator Theory 77 (2013) 89-105. https://doi.org/10.1007/s00020-013-2037-5
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