# Contractible quantum Arens-Michael algebras

Banach Center Publications (2010)

- Volume: 91, Issue: 1, page 423-440
- ISSN: 0137-6934

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topNina 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 -

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