Generalized fixed point algebras and square-integrable group actions

DOI10.1006/jfan.2001.3795zbMath1003.46036arXivmath/0011076OpenAlexW2042337895MaRDI QIDQ5949997

Ralf Meyer

Publication date: 20 January 2003

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

Full work available at URL: https://arxiv.org/abs/math/0011076

zbMATH Keywords

proper actionequivariant Hilbert modulegeneralized fixed point algebraMorita-equivalencereduced crossed productsquare-integrable representation

Mathematics Subject Classification ID

(C^*)-modules (46L08) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Characteristic classes and numbers in differential topology (57R20)

Related Items (19)

Integrability of dual coactions on Fell bundle \(C^*\)-algebras ⋮ Pseudodifferential operators on filtered manifolds as generalized fixed points ⋮ Proper actions on imprimitivity bimodules and decompositions of Morita equivalences ⋮ Naturality of Rieffel's Morita equivalence for proper actions ⋮ Pseudo-differential extension for graded nilpotent Lie groups ⋮ Structure and \(K\)-theory of crossed products by proper actions ⋮ Integrable and proper actions on \(C^*\)-algebras, and square-integrable representations of groups ⋮ Proper actions, fixed-point algebras and naturality in nonabelian duality ⋮ Continuous spectral decompositions of Abelian group actions on \(C^{*}\)-algebras ⋮ Generalized fixed-point algebras for twisted \(C^\ast\)-dynamical systems ⋮ Semidirect products of C*-quantum groups: multiplicative unitaries approach ⋮ KK-theoretic duality for proper twisted actions ⋮ Imprimitivity theorems for weakly proper actions of locally compact groups ⋮ On a representation of the idele class group related to primes and zeros of \(L\)-functions ⋮ Continuous spectrum of automorphism groups and the infraparticle problem ⋮ Square-integrable coactions of locally compact quantum groups ⋮ Noncommutative coarse geometry ⋮ Fixed-point algebras for weakly proper Fell bundles ⋮ Coverings of Directed Graphs and Crossed Products of C*-Algebras by Coactions of Homogeneous Spaces

Cites Work

• Equivariant KK-theory and the Novikov conjecture
• The Novikov conjecture for hyperbolic foliations
• Groups acting properly on ``bolic spaces and the Novikov conjecture
• Morita-Rieffel equivalence and spectral theory for integrable automorphism groups of \(C^*\)-algebras
• Equivariant Kasparov theory and generalized homomorphisms
• Déformations de $C\sp*$-algèbres de Hopf
• C^*-bundles and C_0(X)-algebras
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