Non-commutative Lp-spaces are shown to constitute examples of a class of Banachquasi *-algebras called CQ*-algebras. For p 2 they are also proved to possess asu cient family of bounded positive sesquilinear forms satisfying certain invariance properties.CQ *-algebras of measurable operators over a nite von Neumann algebra are alsoconstructed and it is proven that any abstract CQ*-algebra (X;A0) possessing a su cientfamily of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra ofthis type.
|Numero di pagine||17|
|Stato di pubblicazione||Published - 2006|
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