Clifford algebras over Hilbert C*-Modules

• Autores: Gao Mingchu
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 4, 2007, págs. 1183-1214
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Clifford algebras of real Hilbert C*-modules with orthonormal bases are introduced. It is showed that the C*-Clifford algebra of a real Hilbert module over a real C*-algebra is *-isomorphic to the spacial tensor product of the complexification C*-algebra and a UHF C*-algebra. The von Neumann Clifford algebra of a real Hilbert module over a von Neumann algebra is*-isomorphic to the von Neumann algebra tensor product of the complexification von Neumann algebra and the hyper-finite type two one factor.