Automorphisms and dilation theory of triangular UHF algebras
2013
Yes
non-selfadjoint operator algebras UHF algebras
We study the triangular subalgebras of UHF algebras which pro- vide new examples of algebras with the Dirichlet property and the Ando prop- erty. This in turn allows us to describe the semicrossed product by an isometric automorphism. We also study the isometric automorphism group of these al- gebras 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
https://doi.org/10.1007/s00020-013-2037-5
Journal Articles
English
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