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# Mathematical Research Letters

## Volume 25 (2018)

### Number 1

### The triangulated hull of periodic complexes

Pages: 199 – 236

DOI: http://dx.doi.org/10.4310/MRL.2018.v25.n1.a9

#### Author

#### Abstract

In the terms of a ‘periodic derived category’, we describe explicitly how the orbit category of the bounded derived category of an algebra with respect to a power of the shift functor embeds in its triangulated hull. We obtain a large class of algebras whose orbit categories are strictly smaller than their triangulated hulls and a realization of the phenomenon that an automorphism need not induce the identity functor on the associated orbit category.

Received 13 April 2016