activity
19972023
most citedApproximating L2-invariants, and the Atiyah conjecture

116 citations · 1.7k across the 92 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.GT2019★ 2 cited

On positive scalar curvature bordism

Paolo Piazza, Thomas Schick, Vito Felice Zenobi

Using standard results from higher (secondary) index theory, we prove that the positive scalar curvature bordism groups of a cartesian product GxZ are infinite in dimension 4n if n…

math.KT2019★ 6 cited

The Gromov-Lawson codimension 2 obstruction to positive scalar curvature and the C*-index

Yosuke Kubota, Thomas Schick

Gromov and Lawson developed a codimension 2 index obstruction to positive scalar curvature for a closed spin manifold M, later refined by Hanke, Pape and Schick. Kubota has shown t…

math.AT2019★ 1 cited

Transfer maps in generalized group homology via submanifolds

Martin Nitsche, Thomas Schick, Rudolf Zeidler

Let be a submanifold embedding of spin manifolds of some codimension . A classical result of Gromov and Lawson, refined by Hanke, Pape and Schick, states th…

math.KT2019★ 2 cited

Mapping analytic surgery to homology, higher rho numbers and metrics of positive scalar curvature

Paolo Piazza, Thomas Schick, Vito Felice Zenobi

Let be a f.g. discrete group and let be a Galois -covering of a smooth closed manifold . Let be the analytic structure group, appearing in t…

math.OA2019

Open projections and Murray-von Neumann equivalence

Masayoshi Kaneda, Thomas Schick

We characterize the -algebras for which openness of projections in their second duals is preserved under Murray-von Neumann equivalence. They are precisely the extensions…