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The Index Semigroup and(K)-Groups of Graph-Groupoid(C^{*})-Algebras

✍ Scribed by Ilwoo Cho


Book ID
120950703
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
973 KB
Volume
8
Category
Article
ISSN
1661-8254

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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