Adam P. W. Sørensen

activity

20102018

most citedThe complete classification of unital graph

C^{*}

-algebras: Geometric and strong

45 citations · 156 across the 15 of their papers we have counts for

collaborators

Showing math.RAShow all

4 papers · 1 filter

math.RA2016★ 7 cited

Filtered K-theory for graph algebras

Søren Eilers, Gunnar Restorff, Efren Ruiz +1

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…

math.RA2016★ 8 cited

$L_{2, Z} \otimes L_{2, Z}$ does not embed in $L_{2, Z}$

Nathan Brownlowe, Adam P W Sørensen

For a commutative ring $R$ with unit we investigate the embedding of tensor product algebras into the Leavitt algebra $L_{2, R}$ . We show that the tensor product $L_{2,\mathbb{Z}}\o…

math.RA2015★ 2 cited

The Cuntz splice does not preserve $*$ -isomorphism of Leavitt path algebras over $Z$

Rune Johansen, Adam P. W. Sørensen

We show that the Leavitt path algebras $L_{2, Z}$ and $L_{2 -, Z}$ are not isomorphic as $*$ -algebras. There are two key ingredients in the proof. One is a partial a…

math.RA2015★ 10 cited

Leavitt $R$ -algebras over countable graphs embed into $L_{2, R}$

Nathan Brownlowe, Adam P W Sørensen

For a commutative ring $R$ with unit we show that the Leavitt path algebra $L_{R} (E)$ of a graph $E$ embeds into $L_{2, R}$ precisely when $E$ is countable. Before proving this result…

Filtered K-theory for graph algebras

L2,Z​⊗L2,Z​ does not embed in L2,Z​

The Cuntz splice does not preserve ∗-isomorphism of Leavitt path algebras over Z

Leavitt R-algebras over countable graphs embed into L2,R​

$L_{2, Z} \otimes L_{2, Z}$ does not embed in $L_{2, Z}$

The Cuntz splice does not preserve $*$ -isomorphism of Leavitt path algebras over $Z$

Leavitt $R$ -algebras over countable graphs embed into $L_{2, R}$