Browsing by Author "Kerr, David"

Now showing items 1-14 of 14

    • Generic Properties of Actions of F_n 
      Hitchcock, James Mitchell (2011-10-21)
      We investigate the genericity of measure-preserving actions of the free group Fn, on possibly countably infinitely many generators, acting on a standard probability space. Specifically, we endow the space of all ...
    • Harris County Office of Homeland Security & Emergency Management (HCOHSEM) Information Management Analysis 
      Allen, James; Ellis, Tony; Fisher, Scott; Hunt, Lee; Janusaitis, Robert; Jones, Michael Wade; Kerr, David; Miller, Matthew; Phillips, Michael; Upright, Rory (2017)
      his Project generated 13 recommendations for HCOHSEM by employing an Action Research model using Purposeful Design. It also observed the occurrence and first stages of response by HCOHSEM to Hurricane Harvey. First-hand ...
    • K-Theoretic Dynamics and Finiteness in C*-Crossed Products 
      Rainone, Timothy (2015-08-11)
      This work explores the interplay of C*-dynamics and K-theory. More precisely, we study the extent to which various forms of finite-dimensional approximation properties of a topological nature, witnessed in reduced C*-crossed ...
    • Normalizers of Finite von Neumann Algebras 
      Cameron, Jan Michael (2010-10-12)
      For an inclusion N \subseteq M of finite von Neumann algebras, we study the group of normalizers N_M(B) = {u: uBu^* = B} and the von Neumann algebra it generates. In the first part of the dissertation, we focus on the ...
    • On Primitivity and the Unital Full Free Product of Finite Dimensional C*-algebras 
      Torres Ayala, Francisco (2012-07-16)
      A C*-algebra is called primitive if it admits a *-representation that is both faithful and irreducible. Thus the simplest examples are matrix algebras. The main objective of this work is to classify unital full free products ...
    • Operator Ideals in Lipschitz and Operator Spaces Categories 
      Chavez Dominguez, Javier (2012-10-19)
      We study analogues, in the Lipschitz and Operator Spaces categories, of several classical ideals of operators between Banach spaces. We introduce the concept of a Banach-space-valued molecule, which is used to develop a ...
    • Orbit Equivalence Invariants and Examples 
      Wrobel, Konrad (2021-04-26)
      Orbit equivalence is an equivalence relation on measurable actions of groups that’s been studied since the 1950’s. It has connections to many areas of mathematics including descriptive set theory, percolation theory, ergodic ...
    • Perturbations of Certain Crossed Product Algebras by Free Groups 
      Chan, Wai (2015-05-27)
      Given two von Neumann algebras M and N acting on the same Hilbert space, d(M;N) is defined to be the Hausdor distance between their unit balls. The Kadison-Kastler problem asks whether two sufficiently close von Neumann ...
    • Singular subfactors of II_1 factors 
      Wiggins, Alan Daniel (Texas A&M University, 2007-09-17)
      We examine the notion of a-strong singularity for subfactors N of a II1 factor M, which is a metric quantity that relates the distance of a unitary to a subalgebra with the distance between that subalgebra and its unitary ...
    • Some Results on Bi-Free Probability 
      Na, Wonhee (2018-11-29)
      This study consists of two projects on bi-free probability. In the first project, a bi-free central limit distribution is investigated. We find the principal function of the completely non-normal operator l(vv1) + l(vv1)∗ ...
    • Sparsity, Randomness and Convexity in Applied Algebraic Geometry 
      Ergur, Alperen Ali (2016-06-28)
      In this dissertation we study three problems in applied algebraic geometry. The first problem is to construct an algorithmically efficient approximation to the real part of the zero set of an exponential sum. We construct ...
    • The Novikov Conjecture and Extensions of Coarsely Embeddable Groups 
      Deng, Jintao (2020-07-08)
      This dissertation can be said to consider the Novikov conjecture for an extension of coarsely embeddable groups. The first part of the dissertation is about defining a $C^*$-algebra associated with an extension of coarsely ...
    • Topics in Functional Analysis 
      Boedihardjo, March Tian (2016-03-10)
      I give a geometric characterization of mean ergodic convergence in the Calkin algebras for Banach spaces that have the bounded compact approximation property; I obtain (i) a new, coordinate free, characterization of ...
    • Topological Dynamical Systems and Regularity Properties of Reduced Crossed Product C*-algebras 
      Ma, Xin (2019-05-22)
      In this work, we will explore the relation between topological dynamical systems and their reduced crossed product C ∗ -algebras. More precisely, we mainly study some dynamical properties and how they imply various of ...