INVARIANT EXPECTATIONS AND VANISHING OF BOUNDED COHOMOLOGY FOR EXACT GROUPS
2011 ◽
Vol 03
(01)
◽
pp. 89-107
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Keyword(s):
We study exactness of groups and establish a characterization of exact groups in terms of the existence of a continuous linear operator, called an invariant expectation, whose properties make it a weak counterpart of an invariant mean on a group. We apply this operator to show that exactness of a finitely generated group G implies the vanishing of the bounded cohomology of G with coefficients in a new class of modules, which are defined using the Hopf algebra structure of ℓ1(G).
1983 ◽
Vol 26
(2)
◽
pp. 163-167
◽
Keyword(s):
2011 ◽
Vol 14
(01)
◽
pp. 1-14
◽
Keyword(s):
1987 ◽
Vol 29
(2)
◽
pp. 271-273
◽
2001 ◽
Vol 14
(3)
◽
pp. 303-308
◽
1972 ◽
Vol 7
(2)
◽
pp. 183-190
◽
2020 ◽
Vol 43
(6)
◽
pp. 4315-4334
Keyword(s):