Topologically projective, injective and flat modules of harmonic analysis
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Published:2020-10-01
Issue:10
Volume:211
Page:1447-1459
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ISSN:1064-5616
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Container-title:Sbornik: Mathematics
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language:
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Short-container-title:Sb. Math.
Abstract
Abstract
We study homologically trivial modules of harmonic analysis on a locally compact group
. For
- and
-modules
,
and
we give criteria for metric and topological projectivity, injectivity and flatness. In most cases, modules with these properties must be finite-dimensional.
Bibliography: 18 titles.
Funder
Russian Foundation for Basic Research
Subject
Algebra and Number Theory