Browsing by Subject "C*-algebras"

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Approximate Diagonalization of Homomorphisms

Ro, Min (University of Oregon, 2015-08-18)

In this dissertation, we explore the approximate diagonalization of unital homomorphisms between C*-algebras. In particular, we prove that unital homomorphisms from commutative C*-algebras into simple separable unital ...
AT-algebras from zero-dimensional dynamical systems

Herstedt, Paul (University of Oregon, 2020-09-24)

We outline a particular type of zero-dimensional system (which we call "fiberwise essentially minimal"), which, together with the condition of all points being aperiodic, guarantee that the associated crossed product ...
Compact Group Actions on C*-algebras: Classification, Non-Classifiability and Crossed Products and Rigidity Results for Lp-operator Algebras

Gardella, Eusebio (University of Oregon, 2015-08-18)

This dissertation is concerned with representations of locally compact groups on different classes of Banach spaces. The first part of this work considers representations of compact groups by automorphisms of C*-algebras, ...
Crossed product C*-algebras by finite group actions with a generalized tracial Rokhlin property

Archey, Dawn Elizabeth, 1979- (University of Oregon, 2008-06)

This dissertation consists of two related parts. In the first portion we use the tracial Rokhlin property for actions of a finite group G on stably finite simple unital C *-algebras containing enough projections. The ...
Crossed product C*-algebras of certain non-simple C*-algebras and the tracial quasi-Rokhlin property

Buck, Julian Michael, 1982- (University of Oregon, 2010-06)

This dissertation consists of four principal parts. In the first, we introduce the tracial quasi-Rokhlin property for an automorphism α of a C *-algebra A (which is not assumed to be simple or to contain any projections). ...
Crossed product C*-algebras of minimal dynamical systems on the product of the Cantor set and the torus

Sun, Wei, 1979- (University of Oregon, 2010-06)

This dissertation is a study of the relationship between minimal dynamical systems on the product of the Cantor set ( X ) and torus ([Special characters omitted]) and their corresponding crossed product C *-algebras. For ...
The Tracial Rokhlin Property for Countable Discrete Amenable Group Actions on Nuclear Tracially Approximately Divisible C*-Algebras

Sun, Michael (University of Oregon, 2014-09-29)

In this dissertation we explore the question of existence of a property of group actions on C*-algebras known as the tracial Rokhlin property. We prove existence of the property in a very general setting as well as specialise ...