What is a central projection?

$\begingroup$

What is a central projection in the context of a C*-algebra or a W*-algebra? Unfortunately while I see results on this concept, I haven't been able to find a definition.

Thanks!

$\endgroup$

1 Answer

$\begingroup$

It is just a projection that is central (i.e., in the center). That is, a central projection in a *-algebra $A$ is an element $p\in A$ such that $p=p^*$, $p^2=p$, and $px=xp$ for all $x\in A$.

$\endgroup$ 2

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

You Might Also Like