Group $C^ *$-algebras as algebras of “continuous functions” with noncommuting variables
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- by Wojciech Szymański PDF
- Proc. Amer. Math. Soc. 107 (1989), 353-359 Request permission
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 $\mathfrak {g}$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 353-359
- MSC: Primary 46L05; Secondary 22D25
- DOI: https://doi.org/10.1090/S0002-9939-1989-0975659-6
- MathSciNet review: 975659