Direct limits and inverse limits of Mackey functors

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• 作者：Masaharu Morimoto ^{morimoto@ems.okayama-u.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 19A22 ; secondary ; 57S17
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：470
• 期：Complete
• 页码：68-76
• 全文大小：279 K

文摘

Let G   be a finite group, 8e4774ec1bc07f0223ffa7ee73" title="Click to view the MathML source">S$\mathbb{S}$ the subgroup category of G, and M a Mackey functor on G  . For full subcategories e559e84ced87" title="Click to view the MathML source">G$\mathbb{G}$ and b2" title="Click to view the MathML source">H$\mathbb{H}$ of 8e4774ec1bc07f0223ffa7ee73" title="Click to view the MathML source">S$\mathbb{S}$, we have the direct limit M_⁎(G)$M_{⁎}(\mathbb{G})$ and the inverse limit M^⁎(H)$M^{⁎}(\mathbb{H})$ of M  . In this paper we study relation between the canonical homomorphisms e57cd0445a2f233c3" title="Click to view the MathML source">ind:M_⁎(G)→M(G)$\text{ind}:M_{⁎}(\mathbb{G})\to M(G)$ and res:M(G)→M^⁎(H)$\mathrm{res}:M(G)\to M^{⁎}(\mathbb{H})$.