A. Bruno

activity

20082025

most citedAdjoint algebraic entropy

37 citations · 153 across the 24 of their papers we have counts for

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11 papers · 1 filter

math.GN2025

Nested ideals and topologically $u_{I}$ -torsion elements of the circle group

R. Di santo, D. Dikranjan, A. Giordano Bruno +1

Let $u = (u_{n})_{n \in N}$ be a sequence in $N_{+}$ with $u_{0} = 1$ and $u_{n} ∣ u_{n + 1}$ for every $n \in N$ , and let $b_{n} := u_{n + 1} / u_{n}$ for every $n\in\mathbb…

math.GN2018

Algebraic entropy on strongly compactly covered groups

Anna Giordano Bruno, Menachem Shlossberg, Daniele Toller

We introduce a new class of locally compact groups, namely the strongly compactly covered groups, which are the Hausdorff topological groups $G$ such that every element of $G$ is c…

math.GN2015

Characterized subgroups of topological abelian groups

Dikran Dikranjan, Anna Giordano Bruno, Daniele Impieri

A subgroup $H$ of a topological abelian group $X$ is said to be characterized by a sequence $v = (v_{n})$ of characters of $X$ if $H=\{x\in X:v_n(x)\to 0\ \text{in}\ \mathbb T…

math.GN2014★ 3 cited

Topological entropy for automorphisms of totally disconnected locally compact groups

Anna Giordano Bruno

We give a "limit-free formula" simplifying the computation of the topological entropy for topological automorphisms of totally disconnected locally compact groups. This result allo…

math.GN2013

The Bridge Theorem for totally disconnected LCA groups

Dikran Dikranjan, Anna Giordano Bruno

For a totally disconnected locally compact abelian group, we prove that the topological entropy of a continuous endomorphism coincides with the algebraic entropy of the dual endomo…

math.GN2013★ 28 cited

Topological Entropy and Algebraic Entropy for group endomorphisms