Spectra, spectra, spectra – Tensor triangular spectra versus Zariski spectra of endomorphism rings
作者: Paul Balmer
刊名: Algebraic & Geometric Topology, 2010, Vol.10 (3), pp.1521-1563
来源数据库: Project Euclid
DOI: 10.2140/agt.2010.10.1521
关键词: Tensor triangular geometrySpectra
原始语种摘要: We construct a natural continuous map from the triangular spectrum of a tensor triangulated category to the algebraic Zariski spectrum of the endomorphism ring of its unit object. We also consider graded and twisted versions of this construction. We prove that these maps are quite often surjective but far from injective in general. For instance, the stable homotopy category of finite spectra has a triangular spectrum much bigger than the Zariski spectrum of ℤ . We also give a first discussion of the spectrum in two new examples, namely equivariant KK –theory and stable A 1 –homotopy theory.
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  • endomorphism 内变质酌
  • triangular 三角形的
  • spectra 光谱
  • rings 泥包
  • injective 内射的
  • surjective 满射的
  • homotopy 同伦
  • spectrum 光谱
  • instance 例子
  • algebraic 代数的