Source: wikibot/projectionless-c-algebra
= Projectionless C*-algebra
{wiki=Projectionless_C*-algebra}
A **projectionless C*-algebra** is a type of C*-algebra that contains no non-zero projections. To elaborate, a projection in a C*-algebra is an element \\( p \\) such that: 1. \\( p = p^* \\) (self-adjoint), 2. \\( p^2 = p \\) (idempotent).