Contractive Representation Theory for the Unitary Group of C(X, M 2)

Paterson, Alan L. T.

Canadian journal of mathematics, Tome 39 (1987) no. 3, pp. 612-624

Résumé

One motivation for studying representation theory for the unitary group of a unital C*-algebra arises from Theoretical Physics. (In the latter connection, Segal [9] and Arveson [1] have developed a representation theory for G. Their approach is in a different direction from ours.) Another motivation for studying the representation theory of G arises out of the desire to unify the theories of amenable von Neumann algebras and amenable locally compact groups.A serious problem for such a representation theory is the absence of Haar measure on G in general.In [7], the author introduced the class Repd G of contractive unitary representations of G, the strong metric condition involved compensating for the lack of Haar measure.

Détail

DOI : 10.4153/CJM-1987-029-0

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