@article{d90dc22c5d8e4939942663c6615deac7,
title = "Tannaka duality and stable infinity-categories",
abstract = "We introduce a notion of fine Tannakian infinity-categories and prove Tannakian characterization resuls for symmetric monoidal stable infinity-categories over a field of characteristic zero. It connects derived quotient stacks with symmetric monoidal stable infinity-categories which satisfy a certain simple axiom. We also discuss several applications to examples.",
keywords = "14F05 (primary), 18D10, 18F99 (secondary)",
author = "Isamu Iwanari",
note = "Funding Information: The author would like to thank Prof. K. Fujiwara, B. Kahn, K. Kimura, S. Kimura, S. Mochizuki, S. Moriya, S. Saito, and T. Yamazaki for valuable conversations and comments related to the subject of this paper. The author would like to express his gratitude to anonymous referees for careful readings and constructive comments which substantially improved this paper. Publisher Copyright: {\textcopyright} 2018 London Mathematical Society",
year = "2018",
doi = "10.1112/topo.12057",
language = "English",
volume = "11",
pages = "469--526",
journal = "Journal of Topology",
issn = "1753-8416",
publisher = "John Wiley and Sons Ltd",
number = "2",
}