Journal of Lie Theory

no. 3
C*-Algebras with Norm Controlled Dual Limits and Nilpotent Lie Groups
Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 613-655
Motivated by the description of the C*-algebras of 5-dimensional nilpotent Lie groups as algebras of operator fields defined over their spectra, we introduce the family of C*-algebras with norm controlled dual limits and we show by explicit computations that the C*-algebras of every 5-dimensional nilpotent Lie group belong to this class.
DOI: 10.5802/jolt.853
Classification: 22D25, 22D10, 43A10, 43A20, 46L45
Keywords: 5-dimensional nilpotent Lie groups, C*-algebras of Lie groups, algebras of operator fields, Fourier transform 
@article{JOLT_2015_25_3_a0,
     author = {J. Ludwig and H. Regeiba},
     title = {C*-Algebras with {Norm} {Controlled} {Dual} {Limits} and {Nilpotent} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {613--655},
     year = {2015},
     volume = {25},
     number = {3},
     doi = {10.5802/jolt.853},
     zbl = {1331.22009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.853/}
}
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J. Ludwig; H. Regeiba. C*-Algebras with Norm Controlled Dual Limits and Nilpotent Lie Groups. Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 613-655. doi: 10.5802/jolt.853

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