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Bernstein graph algebras

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1 Published in 2021 at "Archiv der Mathematik"

DOI: 10.1007/s00013-020-01572-y

Abstract: A simple graph defines an associated Bernstein superalgebra. Costa and Grishkov showed that graphs with isomorphic algebras are isomorphic using algebraic group techniques. We prove combinatorially that the superalgebra determines the graph for any field… read more here.

Keywords: graph algebras; bernstein graph;

Brauer graph algebras are closed under derived equivalence

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1 Published in 2022 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-021-02937-x

Abstract: In this paper the class of Brauer graph algebras is proved to be closed under derived equivalence. For that we use the rank of the maximal torus of the identity component $$Out^0(A)$$ O u t… read more here.

Keywords: derived equivalence; graph algebras; brauer graph; closed derived ... See more keywords

Chain conditions for graph C*-algebras

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1 Published in 2019 at "Forum Mathematicum"

DOI: 10.1515/forum-2019-0170

Abstract: Abstract In this article, we study chain conditions for graph C*-algebras. We show that there are infinitely many mutually non isomorphic Noetherian (and Artinian) purely infinite graph C*-algebras with infinitely many ideals. We prove that… read more here.

Keywords: conditions graph; chain conditions; graph algebras;

Geometric Classification of Graph C*-algebras over Finite Graphs

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1 Published in 2018 at "Canadian Journal of Mathematics"

DOI: 10.4153/cjm-2017-016-7

Abstract: Abstract We address the classification problem for graph ${{C}^{*}}$ -algebras of finite graphs (finitely many edges and vertices), containing the class of Cuntz-Krieger algebras as a prominent special case. Contrasting earlier work, we do not… read more here.

Keywords: classification graph; graph algebras; graph; finite graphs ... See more keywords