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The higher Morita category of En-algebras
Haugseng, Rune...

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The higher Morita category of En-algebras by Haugseng, Rune ( Author )
Lemonjar Open Access
N.A
29-12-2014
We introduce simple models for associative algebras and bimodules in the context of non-symmetric ∞-operads, and use these to construct an (∞,2)-category of associative algebras, bimodules, and bimodule homomorphisms in a monoidal ∞-category. By working with ∞-operads over Δn,op we iterate these definitions and generalize our construction to get an (∞,n+1)-category of En-algebras and iterated bimodules in an En-monoidal ∞-category. Moreover, we show that if C is an En+k-monoidal ∞-category then the (∞,n+1)-category of En-algebras in C has a natural Ek-monoidal structure. We also identify the mapping (∞,n)-categories between two En-algebras, which allows us to define interesting non-connective deloopings of the Brauer space of a commutative ring spectrum.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1412.8459
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