The reduced \(C^ *\)-algebra of the p-adic group GL(n)

DOI10.1016/0022-1236(87)90076-0zbMath0625.46064OpenAlexW2070348391MaRDI QIDQ579597

Roger Plymen

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90076-0

zbMATH Keywords

Lefschetz principleK-theory generatorsreduced \(C^ *\)-algebra is Morita equivalent to an abelian \(C^ *\)-algebrareduced dual

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55)

Related Items (6)

Reduced \(C^*\)-algebra for reductive p-adic groups ⋮ On the K-Theory of the Reduced $$C^*$$ C ∗ -Algebras of $$GL(n,\mathbb {R})$$ G L ( n , R ) and $$GL(n,\mathbb {C})$$ G L ( n , C ) ⋮ Cycles in the chamber homology of \(\text{GL}(3)\) ⋮ Base change and \(K\)-theory for GL\((n)\) ⋮ Topological K-theory of affine Hecke algebras ⋮ Reduced \(C ^{*}\)-algebra of the \(p\)-adic group \(GL(n)\). II

Cites Work

• Equivariant K-theory and representations of Hecke algebras. II
• Trace Paley-Wiener theorem for reductive p-adic groups
• Primitive ideals in enveloping algebras
• Induced representations of reductive ${\germ p}$-adic groups. I
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