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On a class of algebras associated to directed graphs

✍ Scribed by Israel Gelfand; Vladimir Retakh; Shirlei Serconek; Robert Lee Wilson


Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
177 KB
Volume
11
Category
Article
ISSN
1022-1824

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Actions of semigroups on directed graphs
✍ David Pask; Iain Raeburn; Trent Yeend 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 172 KB

A free action of a group G on a row-ÿnite 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) × \* G is stably isomorphic to the C \* -algebra C \* (E=G) of the quotient graph. We prove an