The ideal structure of the $C\sp *$-algebras of infinite graphs
Bates, Teresa ; Hong, Jeong Hee ; Raeburn, Iain ; Szymański, Wojciech
Illinois J. Math., Tome 46 (2002) no. 3, p. 1159-1176 / Harvested from Project Euclid
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We classify the gauge-invariant ideals in the $C^*$-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge-invariant primitive ideals in terms of the structural properties of the graph, and describe the $K$-theory of the $C^*$-algebras of arbitrary infinite graphs.
Publié le : 2002-10-15
Classification:  46L80 
@article{1258138472,
     author = {Bates, Teresa and Hong, Jeong Hee and Raeburn, Iain and Szyma\'nski, Wojciech},
     title = {The ideal structure of the $C\sp *$-algebras of infinite graphs},
     journal = {Illinois J. Math.},
     volume = {46},
     number = {3},
     year = {2002},
     pages = { 1159-1176},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138472}
}

Bates, Teresa; Hong, Jeong Hee; Raeburn, Iain; Szymański, Wojciech. The ideal structure of the $C\sp *$-algebras of infinite graphs. Illinois J. Math., Tome 46 (2002) no. 3, pp.  1159-1176. http://gdmltest.u-ga.fr/item/1258138472/