GCR and CCR Steinberg Algebras
2019 ◽
Vol 72
(6)
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pp. 1581-1606
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AbstractKaplansky introduced the notions of CCR and GCR $C^{\ast }$-algebras, because they have a tractable representation theory. Many years later, he introduced the notions of CCR and GCR rings. In this paper we characterize when the algebra of an ample groupoid over a field is CCR and GCR. The results turn out to be exact analogues of the corresponding characterization of locally compact groupoids with CCR and GCR $C^{\ast }$-algebras. As a consequence, we classify the CCR and GCR Leavitt path algebras.
2019 ◽
Vol 19
(09)
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pp. 2050165
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Keyword(s):
2017 ◽
Vol 16
(05)
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pp. 1750090
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Keyword(s):
2018 ◽
Vol 104
(3)
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pp. 403-411
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2019 ◽
Vol 30
(04)
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pp. 1950018
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Keyword(s):
2014 ◽
Vol 14
(2)
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pp. 203-245
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Keyword(s):
2014 ◽
Vol 97
(3)
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pp. 418-429
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Keyword(s):
2017 ◽
Vol 105
(2)
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pp. 229-256
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