The 𝐿²-index theorem for homogeneous spaces

DOI10.1090/S0273-0979-1979-14670-6zbMath0443.58021OpenAlexW2029934428MaRDI QIDQ3886548

Henri Moscovici, Alain Connes

Publication date: 1979

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1979-14670-6

zbMATH Keywords

semisimple Lie groupsnilpotent Lie groupsgeometric realizationindex theorem for foliationsirreducible square integrable representationindex theorem for homogeneous spaces

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (1)

Index theorems and discrete series representations of semisimple Lie groups

Cites Work

• \(L^2\)-cohomology and the discrete series
• A geometric construction of the discrete series for semisimple Lie groups
• Harmonically induced representations of nilpotent Lie groups
• The index of elliptic operators. I
• Unnamed Item

This page was built for publication: The 𝐿²-index theorem for homogeneous spaces