Contractible quantum Arens-Michael algebras

Nina V. Volosova. "Contractible quantum Arens-Michael algebras." Banach Center Publications 91.1 (2010): 423-440. <http://eudml.org/doc/282369>.

@article{NinaV2010,
abstract = {We consider quantum analogues of locally convex spaces in terms of the non-coordinate approach. We introduce the notions of a quantum Arens-Michael algebra and a quantum polynormed module, and also quantum versions of projectivity and contractibility. We prove that a quantum Arens-Michael algebra is contractible if and only if it is completely isomorphic to a Cartesian product of full matrix C*-algebras. Similar results in the framework of traditional (non-quantum) approach are established, at the moment, only under some additional assumptions.},
author = {Nina V. Volosova},
journal = {Banach Center Publications},
keywords = {quantum Arens-Michael algebra; quantum polynormed module; projectivity; contractibility},
language = {eng},
number = {1},
pages = {423-440},
title = {Contractible quantum Arens-Michael algebras},
url = {http://eudml.org/doc/282369},
volume = {91},
year = {2010},
}

TY - JOUR
AU - Nina V. Volosova
TI - Contractible quantum Arens-Michael algebras
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 423
EP - 440
AB - We consider quantum analogues of locally convex spaces in terms of the non-coordinate approach. We introduce the notions of a quantum Arens-Michael algebra and a quantum polynormed module, and also quantum versions of projectivity and contractibility. We prove that a quantum Arens-Michael algebra is contractible if and only if it is completely isomorphic to a Cartesian product of full matrix C*-algebras. Similar results in the framework of traditional (non-quantum) approach are established, at the moment, only under some additional assumptions.
LA - eng
KW - quantum Arens-Michael algebra; quantum polynormed module; projectivity; contractibility
UR - http://eudml.org/doc/282369
ER -