Forskning ved Københavns Universitet - Københavns Universitet

Forside

FLOW EQUIVALENCE OF G-SFTS

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

In this paper, a $ G$-shift of finite type ($ G$-SFT) is a shift of finite type together with a free continuous shift-commuting action by a finite group $ G$. We reduce the classification of $ G$-SFTs up to equivariant flow equivalence to an algebraic classification of a class of poset-blocked matrices over the integral group ring of $ G$. For a special case of two irreducible components with $ G=\mathbb{Z}_2$, we compute explicit complete invariants. We relate our matrix structures to the Adler-Kitchens-Marcus group actions approach. We give examples of $ G$-SFT applications, including a new connection to involutions of cellular automata
OriginalsprogEngelsk
TidsskriftTransactions of the American Mathematical Society
Vol/bind373
Udgave nummer4
Sider (fra-til)2591-2657
ISSN0002-9947
DOI
StatusUdgivet - 2020

ID: 238589818