Automorphisms and dilation theory of triangular UHF algebras

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Title

Automorphisms and dilation theory of triangular UHF algebras

Author(s) or Creator(s)
Ramsey, Christopher
Date

2013

Peer Reviewed?

Yes

Keywords

non-selfadjoint operator algebras
UHF algebras

Description

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.

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

Type of Item

Journal Articles

Language

English

Location

https://roam.macewan.ca/islandora/object/gm:2634

Rights

All Rights Reserved

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