Proves every continuous isometric action of an almost simple linear algebraic group G of rank at least 2 over a non-archimedean local field F on a simply connected infinite-dimensional finite-rank symmetric space X with non-positive curvature operator has a fixed point.
On commutative algebras of operators in the space Πk
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A fixed point theorem for the action of linear higher rank algebraic groups over local fields on symmetric spaces of infinite dimension and finite rank
Proves every continuous isometric action of an almost simple linear algebraic group G of rank at least 2 over a non-archimedean local field F on a simply connected infinite-dimensional finite-rank symmetric space X with non-positive curvature operator has a fixed point.