22 citations · 44 across the 16 of their papers we have counts for
19 papers
Singly Generated Radical Operator Algebras
Justin R. Peters
We examine two nonselfadjoint operator algebras: the weighted shift algebra, and the Volterra operator algebra. In both cases, the operator algebra is the norm closure of the polyn…
Representations of Dirichlet Operator Algebras
Justin R. Peters
A Dirichlet operator algebra is a nonself-adjoint operator algebra with the property that is norm-dense in the C-envelope of $\mathc…
Isomorphism of uniform algebras on the 2-torus
Justin R. Peters, Preechaya Sanyatit
For a positive irrational, let be the subalgebra of continuous functions on the two-torus whose Fourier transform vanishes at if These al…
Ergodic extensions and Hilbert modules associated to endomorphisms of MASAS
Evgenios T. A. Kakariadis, Justin R. Peters
We show that a class of ergodic transformations on a probability measure space extends to a representation of that is both implemented by a Cuntz fa…
Diagonalizing hermitian matrices of continuous functions
Justin Cyr, Jason Ekstrand, Nathan Meyers +2
The problem of diagonalizing hermitian matrices of continuous fiunctions was studied by Grove and Pederson in 1984. While diagonalization is not possible in general, in the presenc…
Representations of C*-dynamical systems implemented by Cuntz families
Evgenios T. A. Kakariadis, Justin R. Peters
Given a dynamical system $(A,\al)$ where is a unital $\ca$-algebra and $\al$ is a (possibly non-unital) *-endomorphism of , we examine families such that i…