On inverse categories and transfer in cohomology
2012 ◽
Vol 56
(1)
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pp. 187-210
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Keyword(s):
AbstractIt follows from methods of B. Steinberg, extended to inverse categories, that finite inverse category algebras are isomorphic to their associated groupoid algebras; in particular, they are symmetric algebras with canonical symmetrizing forms.We deduce the existence of transfer maps in cohomology and Hochschild cohomology from certain inverse subcategories. This is in part motivated by the observation that, for certain categories $\mathcal{C}$, being a Mackey functor on $\mathcal{C}$ is equivalent to being extendible to a suitable inverse category containing $\mathcal{C}$. We further show that extensions of inverse categories by abelian groups are again inverse categories.
2018 ◽
Vol 61
(2)
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pp. 343-362
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2016 ◽
Vol 283
(1)
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pp. 223-255
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Keyword(s):
2019 ◽
Vol 21
(1)
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pp. 19-48
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2019 ◽
Vol 62
(3)
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pp. 817-836
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2012 ◽
Vol 56
(1)
◽
pp. 349-370
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2011 ◽
Vol 139
(05)
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pp. 1553-1553
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