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Contractible quantum Arens-Michael algebras

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Volosova N.

Banach Center Publications

2010

tom 91

nr 1

423-440

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.

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1 Banach Center Publications

1 Volosova N.

1 2010

Wyniki wyszukiwania

Contractible quantum Arens-Michael algebras