Monthly Archives for August 2018


The Gelfand-Naimark-Segal Construction — Part 1

In this series of blog posts I’ll work through the proof that every -algebra on a may be isomorphically embedded into , the -algebra of bounded linear operators on some Hilbert space . This post is meant to give definitions of the objects that we will be studying and possibly some motivation for why this […]


Necessary Intro

Hey all. I’m Dan, and I’m a newly minted PhD in Mathematics and one of the lucky people to then get a job in academia. I’m not quite sure how I’m going to use this blog, but I have a couple ideas. First, I think I’ll use this as a way to teach myself things […]