Homological properties of Fourier algebras on homogeneous spaces

DOI10.1007/s00013-011-0236-3zbMath1219.43008OpenAlexW2019207811MaRDI QIDQ539989

N. Shravan Kumar, Krishnan Parthasarathy

Publication date: 1 June 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0236-3

zbMATH Keywords

biflatnessFourier algebrafree group on two generatorsbiprojectivehomological properties

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (3)

Dual Banach algebras associated to the coset space of a locally compact group ⋮ Power boundedness in the Fourier and Fourier-Stieltjes algebras on homogeneous spaces ⋮ SOME HOMOLOGICAL PROPERTIES OF FOURIER ALGEBRAS ON HOMOGENEOUS SPACES

Cites Work

• Unnamed Item
• Biflatness and biprojectivity of the Fourier algebra
• Fourier analysis on coset spaces
• Malliavin's theorem for weak synthesis on nonabelian groups
• Weak spectral synthesis in commutative Banach algebras
• Spectral synthesis for $A(G)$ and subspaces of $VN(G)$
• Convolutions on compact groups and Fourier algebras of coset spaces
• Weak spectral synthesis in Fourier algebras of coset spaces
• Cohomology and the Operator Space Structure of the Fourier Algebra and its Second Dual
• The Operator Biprojectivity of the Fourier Algebra
• Invariant complementation and projectivity in the Fourier algebra
• L'algèbre de Fourier d'un groupe localement compact

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