Geodesic
GCR and CCR Steinberg Algebras
Canadian journal of mathematics, Tome 72 (2020) no. 6, pp. 1581-1606

Voir la notice de l'article provenant de la source Cambridge University Press

Kaplansky 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.
DOI : 10.4153/S0008414X19000415
Mots-clés : CCR algebra, GCR algebra, groupoid, Steinberg algebra 
Clark, Lisa O.; Steinberg, Benjamin; Wyk, Daniel W. van. GCR and CCR Steinberg Algebras. Canadian journal of mathematics, Tome 72 (2020) no. 6, pp. 1581-1606. doi: 10.4153/S0008414X19000415
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     journal = {Canadian journal of mathematics},
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     year = {2020},
     volume = {72},
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     doi = {10.4153/S0008414X19000415},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000415/}
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