Property T and Amenable Transformation Group C*-algebras
2015 ◽
Vol 58
(1)
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pp. 110-114
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Keyword(s):
AbstractIt is well known that a discrete group that is both amenable and has Kazhdan’s Property T must be finite. In this note we generalize this statement to the case of transformation groups. We show that if G is a discrete amenable group acting on a compact Hausdorff space X, then the transformation group C*-algebra C*(X; G) has Property T if and only if both X and G are finite. Our approach does not rely on the use of tracial states on C*(X; G).
2013 ◽
Vol 156
(2)
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pp. 229-239
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1974 ◽
Vol 26
(1)
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pp. 42-49
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1990 ◽
Vol 02
(01)
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pp. 45-72
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2003 ◽
Vol 06
(03)
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pp. 373-388
2019 ◽
Vol 109
(1)
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pp. 112-130
Keyword(s):
2002 ◽
Vol 34
(1)
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pp. 84-90
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2018 ◽
Vol 2020
(7)
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pp. 2034-2053