RecordNumber
311
Author
Brownlove, Nathan
ArticleLanguage
in English
Title of Article
Realising the C-algera of higher-rank graph as an exel’s crossed product
Title Of Periodical
Operator Theory, Journal
Author Statement
William Arveson
Frequency
4 times a yeara
P ISSN
03794024
Publish State
Romania Academia Romana, Institutul de Matematica 1983
Email Address
nathanb@uow.edu.au
Volume
68
Number
1
Page
101-130
Descriptors
Cuntz–Pimsner algebra , Hilbert bimodule , k-graph , crossed product
EnglishAbstract
We use the boundary-path space of a finitely-aligned k-graphLto construct a compactly-aligned product system X, and we show that the graph algebra C_(L) is isomorphic to the Cuntz–Nica–Pimsner algebra NO(X). In this setting, we introduce the notion of a crossed product by a semigroup of partial endomorphisms and partially-defined transfer operators by defining it
Main Class
510
Date of Article
2009
Affiliat
University of wollongong