Algebraic entropy in locally linearly compact vector spaces

Abstract

We introduce the algebraic entropy for continuous endomorphisms of locally linearly compact vector spaces over a discrete field, as the natural extension of the algebraic entropy for endomorphisms of discrete vector spaces. We show that the main properties of entropy continue to hold in the general context of locally linearly compact vector spaces, in particular we extend the Addition Theorem.

17 pages

References in corpus (3)

• Topological entropy in totally disconnected locally compact groups
• Limit free computation of entropy
• Topological entropy for locally linearly compact vector spaces

Cited by in corpus (3)

• Topological entropy for locally linearly compact vector spaces
• The corank of a flow over the category of linearly compact vector spaces
• A property of the lamplighter group