Deformation of involution and multiplication in a C*-algebra

H. Najafi, and M. S. Moslehian. "Deformation of involution and multiplication in a C*-algebra." Studia Mathematica 215.1 (2013): 31-37. <http://eudml.org/doc/285753>.

@article{H2013,
abstract = {We investigate the deformations of involution and multiplication in a unital C*-algebra when its norm is fixed. Our main result is to present all multiplications and involutions on a given C*-algebra 𝓐 under which 𝓐 is still a C*-algebra when we keep the norm unchanged. For each invertible element a ∈ 𝓐 we also introduce an involution and a multiplication making 𝓐 into a C*-algebra in which a becomes a positive element. Further, we give a necessary and sufficient condition for the center of a unital C*-algebra 𝓐 to be trivial.},
author = {H. Najafi, M. S. Moslehian},
journal = {Studia Mathematica},
keywords = {-algebra; von Neumann algebra; involution; multiplication; positive element; center; double commutant},
language = {eng},
number = {1},
pages = {31-37},
title = {Deformation of involution and multiplication in a C*-algebra},
url = {http://eudml.org/doc/285753},
volume = {215},
year = {2013},
}

TY - JOUR
AU - H. Najafi
AU - M. S. Moslehian
TI - Deformation of involution and multiplication in a C*-algebra
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 1
SP - 31
EP - 37
AB - We investigate the deformations of involution and multiplication in a unital C*-algebra when its norm is fixed. Our main result is to present all multiplications and involutions on a given C*-algebra 𝓐 under which 𝓐 is still a C*-algebra when we keep the norm unchanged. For each invertible element a ∈ 𝓐 we also introduce an involution and a multiplication making 𝓐 into a C*-algebra in which a becomes a positive element. Further, we give a necessary and sufficient condition for the center of a unital C*-algebra 𝓐 to be trivial.
LA - eng
KW - -algebra; von Neumann algebra; involution; multiplication; positive element; center; double commutant
UR - http://eudml.org/doc/285753
ER -