Coverings of Directed Graphs and Crossed Products of C*-Algebras by Coactions of Homogeneous Spaces
2003 ◽
Vol 14
(07)
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pp. 773-789
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Keyword(s):
We show that if p:F→E is a covering of directed graphs, then the Cuntz–Krieger algebra C*(F) of F can be viewed as a crossed product of C*(E) by a coaction of a homogeneous space for the fundamental group π1(E). Combining this result with information about Cuntz–Krieger algebras gives some interesting corollaries which suggest conjectures about crossed products by coactions of homogeneous spaces of discrete groups. We then prove these conjectures.
2007 ◽
Vol 75
(2)
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pp. 229-238
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1999 ◽
Vol 51
(4)
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pp. 745-770
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Keyword(s):
1993 ◽
Vol 04
(02)
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pp. 289-317
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Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
2019 ◽
Vol 150
(5)
◽
pp. 2368-2378
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