Invariant measures for unitary forms of Kac-Moody groups, Parts I-III

Mathematics – Operator Algebras

Scientific paper

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101 pages; this is an AMS-TEX file; the paper has been submitted to J. Funct. Anal

Scientific paper

The purpose of this paper is to describe some conjectures and results on the
existence and uniqueness of invariant measures on formal completions of
Kac-Moody groups and associated homogeneous spaces. Existence is rigorously
established in all affine type cases.

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