Kernels and cokernels in the category of augmented involutive stereotype algebras
2019 ◽
Vol 19
(06)
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pp. 2050108
Keyword(s):
We prove several properties of kernels and cokernels in the category of augmented involutive stereotype algebras: (1) this category has kernels and cokernels, (2) the cokernel is preserved under the passage to the group stereotype algebras, and (3) the notion of cokernel allows to prove that the continuous envelope [Formula: see text] of the group algebra of a compact buildup of an abelian locally compact group is an involutive Hopf algebra in the category of stereotype spaces [Formula: see text]. The last result plays an important role in the generalization of the Pontryagin duality for arbitrary Moore groups.
2011 ◽
Vol 84
(2)
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pp. 177-185
1990 ◽
Vol s2-41
(3)
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pp. 445-460
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1989 ◽
Vol 40
(1)
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pp. 13-23
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1996 ◽
Vol 119
(4)
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pp. 657-663
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1992 ◽
Vol 35
(2)
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pp. 180-185
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1947 ◽
Vol 61
(1)
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pp. 69-69
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2010 ◽
Vol 62
(4)
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pp. 845-869
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Keyword(s):
Keyword(s):
2016 ◽
Vol 59
(2)
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pp. 411-434
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2021 ◽
Vol 12
(1)
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