Localized endomorphisms of graph algebras

Endomorphisms of graph C*-algebras are investigated. A combinatorial ap- proach to analysis of permutative endomorphisms is developed. Then invertibility criteria for localized endomorphisms are given. Furthermore, proper endomor- phisms which restrict to automorphisms of the canonical diagonal MASA are analyzed. The Weyl group and the restricted Weyl group of a graph C*-algebra are introduced and investigated. Criteria of outerness for automorphisms in the restricted Weyl group are found.

Keywords

Cuntz-Krieger algebra, graph algebra, endomorphism, automorphism, permutative endomorphism, AF-subalgebra, MASA

URI

https://doi.org/10.34657/2601
https://oa.tib.eu/renate/handle/123456789/1705

Citation

Conti, R., Hong, J. H., & Szyma´nski, W. (2011). Localized endomorphisms of graph algebras (Vol. 2011-04). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org//10.14760/OWP-2011-04

Collections

Mathematik
Oberwolfach Preprints (OWP)

License

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