'Twisted duality' in the ${\mathrm{C}}^{\ast }$ Clifford algebra

Abstract

Let $V$ be a real inner product space and $C[V]$ its ${\mathrm{C}}^{\ast }$ Clifford algebra. We prove that if $Z$ is a subspace of $V$ then $C[Z^{\perp }]$ coincides with the supercommutant of $C[Z]$ in $C[V]$.

5 pages

References in corpus (1)

• 'Twisted duality' for Clifford Algebras