Jan Boschheidgen

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math.GR2022

On Limit Eigenvalue Distributions Associated to Residual Chains of Groups

Jan Boschheidgen

Let $G$ be a residually finite group. We give an explicit example in the discrete Heisenberg group that the Brown measure of multiplication operators $A \in \mathbb{Z}[G] \subseteq…

math.GR2022

Twisted $L^{2}$ -Betti numbers of sofic groups

Jan Boschheidgen, Andrei Jaikin-Zapirain

Wolfang Lück asked if twisted $L^{2}$ -Betti numbers of a group are equal to the usual $L^{2}$ -Betti numbers rescaled by the dimension of the twisting representation. We confirm this fo…

math.GR2019

Generating pairs of projective special linear groups that fail to lift

Jan Boschheidgen, Benjamin Klopsch, Anitha Thillaisundaram

The following problem was originally posed by B.H. Neumann and H. Neumann. Suppose that a group $G$ can be generated by $n$ elements and that $H$ is a homomorphic image of $G$ . Doe…

On Limit Eigenvalue Distributions Associated to Residual Chains of Groups

Twisted L2-Betti numbers of sofic groups

Generating pairs of projective special linear groups that fail to lift

Twisted $L^{2}$ -Betti numbers of sofic groups