THH(R) ≅ R ⊗ S1 for E∞ ring spectra
نویسندگان
چکیده
منابع مشابه
Calculating obstruction groups for E∞ ring spectra
We describe a special instance of the Goerss–Hopkins obstruction theory, due to Senger, for calculating the moduli of E∞ ring spectra with given mod-p homology. In particular, for the 2-primary Brown–Peterson spectrum we give a chain complex that calculates the rst obstruction groups, locate the rst potential genuine obstructions, and discuss how some of the obstruction classes can be interpret...
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Let G be a compact Lie group and kG a G spectrum (as defined in [3, Section I.2]). Greenlees and May ([2]) have defined an associated G-spectrum t(kG) called the Tate spectrum. They observe that if kG is a ring G-spectrum then there is an induced ring G-spectrum structure on t(kG), and that if kG is homotopy-commutative then t(kG) will also be homotopycommutative (see [2, Proposition 3.5]). It ...
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E∞ ring spectra were defined in 1972, but the term has since acquired several alternative meanings. The same is true of several related terms. The new formulations are not always known to be equivalent to the old ones and even when they are, the notion of " equivalence " needs discussion: Quillen equivalent categories can be quite seriously inequivalent. Part of the confusion stems from a gap i...
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E 1 ring spectra were defined in 1972, but the term has since acquired several alternative meanings. The same is true of several related terms. The new formulations are not always known to be equivalent to the old ones and even when they are, the notion of equivalence needs discussion: Quillen equivalent categories can be quite seriously inequivalent. Part of the confusion stems from a gap in t...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1997
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(97)00118-7