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arXiv · 1602.03492

Wishart--Pickrell distributions and closures of group actions

Yury A. Neretin
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Abstract

Consider probabilistic distributions on the space of infinite Hermitian matrices $Herm(\infty)$ invariant with respect to the unitary group $U(\infty)$. We describe the closure of $U(\infty)$ in the space of spreading maps (polymorphisms) of $Herm(\infty)$, this closure is a semigroup isomorphic to the semigroup of all contractive operators.

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BibTeXRIS

Yury A. Neretin. 2016-06-05. Wishart--Pickrell distributions and closures of group actions. https://doi.org/10.1007/s10958-017-3417-1

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