\(L^{2}\)-Betti numbers of infinite configuration spaces

DOI10.2977/prims/1166642153zbMath1114.58001OpenAlexW2032523633MaRDI QIDQ863785

Alexei Daletskii, Sergio A. Albeverio

Publication date: 1 February 2007

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1166642153

zbMATH Keywords

von Neumann algebraconfiguration spacePoisson measurede Rham cohomologyBetti numbersinfinite covering

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Diffusion processes and stochastic analysis on manifolds (58J65) Differential forms in global analysis (58A10) Random measures (60G57)

Related Items (4)

Traces of semigroups associated with interacting particle systems ⋮ \(L^2\) dimensions of spaces of braid-invariant harmonic forms ⋮ On the differential geometry of some classes of infinite dimensional manifolds ⋮ Random Witten Laplacians: Traces of semigroups, \(L^{2}\)-Betti numbers and index

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