Means and Følner condition on locally compact groups
A. Hulanicki (1966)
Studia Mathematica
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A. Hulanicki (1966)
Studia Mathematica
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Walter Rudin (1972)
Studia Mathematica
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Adam Kleppner, Ronald Lipsman (1972)
Annales scientifiques de l'École Normale Supérieure
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A. Hulanicki, C. Ryll-Nardzewski (1979)
Colloquium Mathematicae
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E. Hewitt, K. Ross (1968)
Studia Mathematica
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V. Mandrekar, M. Nadkarni, D. Patil (1970)
Studia Mathematica
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Philippe Jaming, William Moran (2000)
Collectanea Mathematica
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In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.
Robert E. Atalla (1970)
Compositio Mathematica
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Maxim R. Burke (2007)
Fundamenta Mathematicae
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R. A. Johnson showed that there is no translation-invariant Borel lifting for the measure algebra of ℝ/ℤ equipped with Haar measure, a result which was generalized by M. Talagrand to non-discrete locally compact abelian groups and by J. Kupka and K. Prikry to arbitrary non-discrete locally compact groups. In this paper we study analogs of these results for category algebras (the Borel σ-algebra modulo the ideal of first category sets) of topological groups. Our main results are for the...