4 citations · 7 across the 5 of their papers we have counts for
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A geometric approach to Voiculescu-Brown entropy
David Kerr
A basic problem in dynamics is to identify systems with positive entropy, i.e., systems which are "chaotic." While there is a vast collection of results addressing this issue in to…
Positive Voiculescu-Brown entropy in noncommutative toral automorphisms
David Kerr, Hanfeng Li
We show that the Voiculescu-Brown entropy of a noncommutative toral automorphism arising from a matrix S in GL(d,Z) is at least half the value of the topological entropy of the cor…
Entropy and induced dynamics on state spaces
David Kerr
We consider the topological entropy of state space and quasi-state space homeomorphisms induced from C*-algebra automorphisms. Our main result asserts that, for automorphisms of se…
Matricial quantum Gromov-Hausdorff distance
David Kerr
We develop a matricial version of Rieffel's Gromov-Hausdorff distance for compact quantum metric spaces within the setting of operator systems and unital C*-algebras. Our approach…
Noncommutative pressure and the variational principle in Cuntz-Krieger-type C*-algebras
David Kerr, Claudia Pinzari
We define a notion of dynamical pressure at a self-adjoint element for a contractive completely positive self-map of an exact C*-algebra which adopts Voiculescu's approximation app…