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Recipes to compute the algebraic K-theory of Hecke algebras of reductive p-adic groups - MaRDI portal

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Recipes to compute the algebraic K-theory of Hecke algebras of reductive p-adic groups

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Publication:6510392

arXiv2306.01510MaRDI QIDQ6510392

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Abstract: We compute the algebraic K-theory of the Hecke algebra of a reductive p-adic group G using the fact that the Farrell-Jones Conjecture is known in this context. The main tool will be the properties of the associated Bruhat-Tits building and an equivariant Atiyah-Hirzebruch spectral sequence. In particular the projective class group can be written as the colimit of the projective class groups of the compact open subgroups of G.





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