2 citations · 2 across the 1 of their papers we have counts for
4 papers
Universal -algebras with the Local Lifting Property
Kristin E. Courtney
The Local Lifting Property (LLP) is a localized version of projectivity for completely positive maps between -algebras. Outside of the nuclear case, very few $\mathrm…
The universal C*-algebra of a contraction
Kristin Courtney, David Sherman
We say that a contractive Hilbert space operator is universal if there is a natural surjection from its generated C*-algebra to the C*-algebra generated by any other contraction. A…
Free products with amalgamation over central C*-subalgebras
Kristin Courtney, Tatiana Shulman
Let A and B be C*-algebras whose quotients are all RFD, and let C be a central C*-subalgebra in both A and B. We prove that the full amalgamated free product of A and B over C is t…
Elements of -algebras Attaining Their Norm in a Finite-Dimensional Representation
Kristin Courtney, Tatiana Shulman
We characterize the class of RFD -algebras as those containing a dense subset of elements that attain their norm under a finite-dimensional representation. We show further tha…