Von Neumann Algebras
In the context of operator algebras, a projection is an idempotent linear operator on a Hilbert space that represents a self-adjoint operator whose square equals itself. Projections are crucial in understanding the structure of von Neumann algebras, as they help to define the concept of subspaces and their orthogonal complements. Additionally, projections play a significant role in defining partial isometries and are foundational in studying W*-dynamical systems.
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