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arXiv · 1610.02232

Filtered K-theory for graph algebras

Søren Eilers·Gunnar Restorff·Efren Ruiz·Adam P. W. Sørensen
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Abstract

We introduce filtered algebraic $K$-theory of a ring $R$ relative to a sublattice of ideals. This is done in such a way that filtered algebraic $K$-theory of a Leavitt path algebra relative to the graded ideals is parallel to the gauge invariant filtered $K$-theory for graph $C^*$-algebras. We apply this to verify the Abrams-Tomforde conjecture for a large class of finite graphs.

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Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P. W. Sørensen. 2016-10-07. Filtered K-theory for graph algebras. https://doi.org/10.1007/978-3-319-72299-3_11

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