Twisting $L^2$-invariants with finite-dimensional representations

Wolfgang Lueck

doi:10.1142/s1793525318500279

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arXiv · 1510.00057

Twisting $L^2$-invariants with finite-dimensional representations

Wolfgang Lueck

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Abstract

We investigate how one can twist L^2-invariants such as L^2-Betti numbers and L^2-torsion with finite-dimensional representations. As a special case we assign to the universal covering of a finite connected CW-complex X together with an element phi in H^1(X;R) a phi-twisted L^2-torsion function from R^{>0} to R, provided that the fundamental group of X is residually finite and its universal covering is L^2-acyclic.

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BibTeX RIS

Wolfgang Lueck. 2017-03-27. Twisting $L^2$-invariants with finite-dimensional representations. https://doi.org/10.1142/s1793525318500279

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