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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Group $ C\sp *$-algebras as algebras of ``continuous functions'' with noncommuting variables


Author: Wojciech Szymański
Journal: Proc. Amer. Math. Soc. 107 (1989), 353-359
MSC: Primary 46L05; Secondary 22D25
MathSciNet review: 975659
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Abstract: It is shown that a system of commutation relations depending on the structure constants of a Lie algebra $ \mathfrak{g}$ leads to a $ {C^*}$-algebra which is isomorphic to the group $ {C^*}$-algebra of the simply connected Lie group associated with $ \mathfrak{g}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0975659-6
PII: S 0002-9939(1989)0975659-6
Keywords: Compact domain, group $ {C^*}$-algebra, Lie algebra of a Lie group, continuous operator function
Article copyright: © Copyright 1989 American Mathematical Society