5 citations · 6 across the 6 of their papers we have counts for
7 papers
Uncountable Abelian Group C*-algebras Fail the Lifting Property
Miles Gould
In this note, we show that fails the lifting property (LP) for every discrete group containing an uncountable abelian subgroup. Consequently, for every uncountable dis…
The Selfless Dichotomy
Miles Gould
The purpose of this note is to address the gap in the stable rank one/purely infinite dichotomy of selfless -probability spaces. In particular, we show that nonfaithful selfle…
An Infinite Transitivity Theorem
Miles Gould
In this note, we promote an infinite Kadison transitivity theorem on massive -algebras, including the Calkin algebra. This transitivity stems from the analog of countable degr…
An Operator Theoretic Approach to Birkhoff's Problem 111
Miles Gould
In 1946, Garrett Birkhoff proved that the doubly stochastic matrices comprise the convex hull of the permutation matrices, which in turn make up the extreme…
Coherence for Categorified Operadic Theories
M. R. Gould
Given an algebraic theory which can be described by a (possibly symmetric) operad , we propose a definition of the \emph{weakening} (or \emph{categorification}) of the theory, i…
The Categorification of a Symmetric Operad is Independent of Signature
Miles Gould
Given a symmetric operad , and a signature (or generating sequence) for , we define a notion of the "categorification" (or "weakening") of with respect to . When $…