Localized endomorphisms of graph algebras

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OWP2011_04.pdf (424.87 KB)

Date

2011

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Advisor

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2011-04

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Oberwolfach Preprints (OWP)

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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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https://doi.org/10.14760/OWP-2011-04

Abstract

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.

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Keywords

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

Keywords GND

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Report

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publishedVersion

URI

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

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Mathematik
Oberwolfach Preprints (OWP)

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