The $$C^*$$-Algebra of the Heisenberg Motion Groups $${{\mathbb {T}}}^n\ltimes {\mathbb {H}}

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The $$C^*$$-Algebra of the Heisenberg Motion Groups $${{\mathbb {T}}}^n\ltimes {\mathbb {H}}_n$$

Published:2019-08-08 Issue:8 Volume:13 Page:3943-3978
ISSN:1661-8254
Container-title:Complex Analysis and Operator Theory
language:en
Short-container-title:Complex Anal. Oper. Theory

Author:

Ludwig Jean^ORCID,Regeiba Hedi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11785-019-00944-9.pdf

Reference21 articles.

1. Abdelmoula, F., Elloumi, M., Ludwig, J.: The $$C^*$$-algebra of the motion group $$SO(n)\ltimes {\mathbb{R}}^n$$. Bull. Sci. Math. 135, 166–177 (2011)

2. Beltita, I., Beltita, D., Ludwig, J.: Fourier transforms of $$ C^*$$-algebras of nilpotent lie groups. Int. Math. Res. Notices 677–714 (2017)

3. Blackadar, B.: Operator Algebras Theory of $$C^*$$-Algebras and von Neumann Algebras. Springer, Berlin (2006)

4. Dixmier, J.: Les $$C^*$$-algèbres et leurs représentations. Gauthier-Villars

5. Dixmier, J.: Sur les espaces localement quasi-compact. Can. J. Math. 20, 1093–1100 (1968)

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