arXiv Open Access 2024

Operator K-Theory and Tempiric Representations

Jacob Bradd Nigel Higson Robert Yuncken

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Abstrak

David Vogan proved that if $G$ is a real reductive group, and if $K$ is a maximal compact subgroup of $G$, then every irreducible representation of $K$ is included as a minimal $K$-type in precisely one tempered, irreducible unitary representation of $G$ with real infinitesimal character, and that moreover it is included there with multiplicity one and is the unique minimal $K$-type in that representation. We shall prove that the Connes-Kasparov isomorphism in operator $K$-theory is equivalent to a $K$-theoretic version of Vogan's result.

Topik & Kata Kunci

math.RT math.KT math.OA

Penulis (3)

Jacob Bradd

Nigel Higson

Robert Yuncken

Format Sitasi

APA MLA BibTeX

Bradd, J., Higson, N., Yuncken, R. (2024). Operator K-Theory and Tempiric Representations. https://arxiv.org/abs/2412.18924

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓