Contractive Representation Theory for the Unitary Group of C(X, M2)
1987 ◽
Vol 39
(3)
◽
pp. 612-624
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Keyword(s):
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 RepdG of contractive unitary representations of G, the strong metric condition involved compensating for the lack of Haar measure.
1989 ◽
Vol 112
(1-2)
◽
pp. 71-112
2018 ◽
Vol 361
(1)
◽
pp. 81-125
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Keyword(s):
1973 ◽
Vol 74
(3)
◽
pp. 461-465
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2019 ◽
Vol 150
(5)
◽
pp. 2656-2681
2016 ◽
Vol 15
(06)
◽
pp. 1650079
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Keyword(s):
2003 ◽
Vol 14
(06)
◽
pp. 619-665
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1975 ◽
Vol 81
(6)
◽
pp. 1106-1109
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Keyword(s):
1961 ◽
Vol 67
(4)
◽
pp. 385-389
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Keyword(s):