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Algebraic and combinatorial aspects of sandpile monoids on directed graphs

✍ Scribed by Chapman, Scott; Garcia, Rebecca; García-Puente, Luis David; Malandro, Martin E.; Smith, Ken W.


Book ID
119292651
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
328 KB
Volume
120
Category
Article
ISSN
0097-3165

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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