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Isomorphisms of algebras associated with directed graphs

✍ Scribed by Elias Katsoulis; David W. Kribs


Publisher
Springer
Year
2004
Tongue
English
Weight
241 KB
Volume
330
Category
Article
ISSN
0025-5831

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A free action of a group G on a row-ΓΏnite directed graph E induces an action \* on its Cuntz-Krieger C \* -algebra C \* (E), and a recent theorem of Kumjian and Pask says that the crossed product C \* (E) Γ— \* G is stably isomorphic to the C \* -algebra C \* (E=G) of the quotient graph. We prove an