Idempotent States and the Inner Linearity Property

Teodor Banica, Uwe Franz, and Adam Skalski. "Idempotent States and the Inner Linearity Property." Bulletin of the Polish Academy of Sciences. Mathematics 60.2 (2012): 123-132. <http://eudml.org/doc/281178>.

@article{TeodorBanica2012,
abstract = {We find an analytic formulation of the notion of Hopf image, in terms of the associated idempotent state. More precisely, if π:A → Mₙ(ℂ) is a finite-dimensional representation of a Hopf C*-algebra, we prove that the idempotent state associated to its Hopf image A' must be the convolution Cesàro limit of the linear functional φ = tr ∘ π. We then discuss some consequences of this result, notably to inner linearity questions.},
author = {Teodor Banica, Uwe Franz, Adam Skalski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {idempotent state; Hopf image; inner linearity},
language = {eng},
number = {2},
pages = {123-132},
title = {Idempotent States and the Inner Linearity Property},
url = {http://eudml.org/doc/281178},
volume = {60},
year = {2012},
}

TY - JOUR
AU - Teodor Banica
AU - Uwe Franz
AU - Adam Skalski
TI - Idempotent States and the Inner Linearity Property
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2012
VL - 60
IS - 2
SP - 123
EP - 132
AB - We find an analytic formulation of the notion of Hopf image, in terms of the associated idempotent state. More precisely, if π:A → Mₙ(ℂ) is a finite-dimensional representation of a Hopf C*-algebra, we prove that the idempotent state associated to its Hopf image A' must be the convolution Cesàro limit of the linear functional φ = tr ∘ π. We then discuss some consequences of this result, notably to inner linearity questions.
LA - eng
KW - idempotent state; Hopf image; inner linearity
UR - http://eudml.org/doc/281178
ER -