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We show that any preadditive infinity category with duality gives rise to adirect sum hermitian K-theory spectrum. This assignment is lax symmetricmonoidal, thereby producing E-infinity ring spectra from preadditive symmetricmonoidal infinity categories with duality. To have examples of preadditivesymmetric monoidal infinity categories with duality we show that anypreadditive symmetric monoidal infinity category, in which every object admitsa dual, carries a canonical duality. Moreover we classify and twist thedualities in various ways and apply our definitions for example to finitelygenerated projective modules over E-infinity ring spectra.

Infinity categories with duality and hermitian multiplicative infinite loop space machines