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Geometry of the smooth dual of GL(n)

Jacek Brodzki·Roger Plymen
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Abstract

Let A(n) be the smooth dual of the p-adic group G=GL(n). We create on A(n) the structure of a complex algebraic variety. There is a morphism of A(n) onto the Bernstein variety Omega G which is injective on each component of A(n). The tempered dual of G is a deformation retract of A(n). The periodic cyclic homology of the Hecke algebra of G is isomorphic to the periodised de Rham cohomology supported on finitely many components of A(n).

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BibTeXRIS

Jacek Brodzki, Roger Plymen. 2000-07-17. Geometry of the smooth dual of GL(n). https://doi.org/10.1016/s0764-4442(00)01618-9

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