Automorphisms and dilation theory of triangular UHF algebras

Author
Faculty Advisor
Date
2013
Keywords
non-selfadjoint operator algebras, UHF algebras
Abstract (summary)
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.
Publication Information
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
DOI
https://doi.org/10.1007/s00020-013-2037-5
Notes
Item Type
Language
English
Rights
All Rights Reserved
Permalink
https://hdl.handle.net/20.500.14078/2067
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Department of Mathematics and Statistics
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