Metric semi-groups of normal states determine F-algebras
2018 ◽
Vol 70
(2)
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pp. 429-450
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Keyword(s):
Type I
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Abstract Let A be an F-algebra and S(A*) be the metric semi-group of normal states of the W*-algebra A*. We show that S(A*) determines A, when A* is of type I. In particular, when A is either the Fourier algebra A(G) or the Fourier–Stieltjes algebra B(G) of a type I locally compact group G, the metric semi-group S(A*) determines G up to opposition. A remark for the general case will also be given.
2017 ◽
Vol 28
(10)
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pp. 1750067
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2013 ◽
Vol 65
(5)
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pp. 1005-1019
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2007 ◽
Vol 59
(5)
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pp. 966-980
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Keyword(s):
1979 ◽
Vol 251
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pp. 39-39
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Keyword(s):
Keyword(s):
Keyword(s):
1974 ◽
Vol 189
◽
pp. 371-371
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1981 ◽
Vol 267
(1)
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pp. 53-53
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