Tambara函子的澄清与余归纳
Clarification and Coinduction of Tambara Functors
AI总结：
本文引入澄清的Tambara函子概念，证明了Tambara函子可分解为余归纳之积并定义了反射局部化，借此研究了其Morita不变性、$K$-理论及类域等性质。
摘要：
Tambara函子是源于表示论和等变同伦论的环的等变类似物。我们引入澄清的Tambara函子概念，并证明在温和条件下，每个Tambara函子均可分解为澄清的Tambara函子的余归纳之积；投影到非余归纳部分定义了一种我们称为澄清的反射局部化。基于此视角，我们研究了Tambara函子的Morita不变性与$K$-理论、类域Tambara函子，以及Nullstellensatz式澄清的Tambara函子。
英文摘要：
Tambara functors are equivariant analogues of rings arising in representation theory and equivariant homotopy theory. We introduce the notion of a clarified Tambara functor and show that under mild conditions every Tambara functor admits a decomposition as a product of coinductions of clarified Tambara functors; projection onto the non-coinduced part defines a reflective localization we call clarification. Through this perspective we study Morita invariance and $K$-theory of Tambara functors, field-like Tambara functors, and Nullstellensatzian clarified Tambara functors.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
