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Structure of contractible locally $C^*$-algebras

Author(s): Maria Fragoulopoulou
Journal: Proc. Amer. Math. Soc. 129 (2001), 2889-2896.
MSC (2000): Primary 46K10, 16E10; Secondary 46M10
Posted: February 9, 2001
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Abstract:

A locally $C^*$-algebra is contractible iff it is topologically isomorphic to the topological cartesian product of a certain family of full matrix algebras.

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Additional Information:

Maria Fragoulopoulou
Affiliation: Department of Mathematics, University of Athens, Panepistimiopolis, Athens 15784, Greece
Email: mfragoul@cc.uoa.gr

DOI: 10.1090/S0002-9939-01-05949-4
PII: S 0002-9939(01)05949-4
Keywords: Contractible locally $C^*$-algebra, global dimension zero.
Received by editor(s): January 31, 2000
Posted: February 9, 2001
Additional Notes: The contents of this paper were presented at the International Workshop on ``General Topological Algebras'', Tartu, Estonia, October 4-8, 1999.
This research was partially supported by the Special Research Account: Grant Nr 70/4/3421, University of Athens.
Communicated by: David R. Larson
Copyright of article: Copyright 2001, American Mathematical Society

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