Contractive homomorphisms of measure algebras and Fourier algebras

Ross Stokke

Studia Mathematica (2012)

  • Volume: 209, Issue: 2, page 135-150
  • ISSN: 0039-3223

Abstract

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We show that the dual version of our factorization [J. Funct. Anal. 261 (2011)] of contractive homomorphisms φ: L¹(F) → M(G) between group/measure algebras fails to hold in the dual, Fourier/Fourier-Stieltjes algebra, setting. We characterize the contractive w*-w* continuous homomorphisms between measure algebras and (reduced) Fourier-Stieltjes algebras. We consider the problem of describing all contractive homomorphisms φ: L¹(F) → L¹(G).

How to cite

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Ross Stokke. "Contractive homomorphisms of measure algebras and Fourier algebras." Studia Mathematica 209.2 (2012): 135-150. <http://eudml.org/doc/285447>.

@article{RossStokke2012,
abstract = {We show that the dual version of our factorization [J. Funct. Anal. 261 (2011)] of contractive homomorphisms φ: L¹(F) → M(G) between group/measure algebras fails to hold in the dual, Fourier/Fourier-Stieltjes algebra, setting. We characterize the contractive w*-w* continuous homomorphisms between measure algebras and (reduced) Fourier-Stieltjes algebras. We consider the problem of describing all contractive homomorphisms φ: L¹(F) → L¹(G).},
author = {Ross Stokke},
journal = {Studia Mathematica},
keywords = {measure algebra; group algebra; Fourier algebra; Fourier-Stieltjes algebra; homomorphism},
language = {eng},
number = {2},
pages = {135-150},
title = {Contractive homomorphisms of measure algebras and Fourier algebras},
url = {http://eudml.org/doc/285447},
volume = {209},
year = {2012},
}

TY - JOUR
AU - Ross Stokke
TI - Contractive homomorphisms of measure algebras and Fourier algebras
JO - Studia Mathematica
PY - 2012
VL - 209
IS - 2
SP - 135
EP - 150
AB - We show that the dual version of our factorization [J. Funct. Anal. 261 (2011)] of contractive homomorphisms φ: L¹(F) → M(G) between group/measure algebras fails to hold in the dual, Fourier/Fourier-Stieltjes algebra, setting. We characterize the contractive w*-w* continuous homomorphisms between measure algebras and (reduced) Fourier-Stieltjes algebras. We consider the problem of describing all contractive homomorphisms φ: L¹(F) → L¹(G).
LA - eng
KW - measure algebra; group algebra; Fourier algebra; Fourier-Stieltjes algebra; homomorphism
UR - http://eudml.org/doc/285447
ER -

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