Bar construction and tannakization

Details Bar construction and tannakization Bar construction and tannakization

2012-03-02

arxiv.org/abs/1203.0492v1

Mathematics

Algebraic Geometry

Scientific paper

We continue our study of tannakization of symmetric monoidal stable infinity-categories, begun in our previous paper. The issue treated in this note is the calculation of tannakizations of some examples of symmetric monoidal stable infinity-categories with fiber functors. We consider the case of symmetric monoidal infinity-categories of perfect complexes on perfect derived stacks. The main result especially says that our tannakization includes bar constructions for augmented commutative ring spectra and its variants as a special case.

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