On the projectivity and flatness of some group modules

Gerhard Racher

Banach Center Publications (2010)

  • Volume: 91, Issue: 1, page 315-325
  • ISSN: 0137-6934

Abstract

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In the sequel of the work of H. G. Dales and M. E. Polyakov we give a few more examples of modules over the Banach algebra L¹(G) whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group G.

How to cite

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Gerhard Racher. "On the projectivity and flatness of some group modules." Banach Center Publications 91.1 (2010): 315-325. <http://eudml.org/doc/282561>.

@article{GerhardRacher2010,
abstract = {In the sequel of the work of H. G. Dales and M. E. Polyakov we give a few more examples of modules over the Banach algebra L¹(G) whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group G.},
author = {Gerhard Racher},
journal = {Banach Center Publications},
keywords = {group algebra; projective module; flat module; amenable group},
language = {eng},
number = {1},
pages = {315-325},
title = {On the projectivity and flatness of some group modules},
url = {http://eudml.org/doc/282561},
volume = {91},
year = {2010},
}

TY - JOUR
AU - Gerhard Racher
TI - On the projectivity and flatness of some group modules
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 315
EP - 325
AB - In the sequel of the work of H. G. Dales and M. E. Polyakov we give a few more examples of modules over the Banach algebra L¹(G) whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group G.
LA - eng
KW - group algebra; projective module; flat module; amenable group
UR - http://eudml.org/doc/282561
ER -

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