4.1 Article

Quasidiagonality of C*-Algebras of Solvable Lie Groups

Journal

INTEGRAL EQUATIONS AND OPERATOR THEORY
Volume 90, Issue 1, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00020-018-2438-6

Keywords

Unitary dual; ax plus b-Group; Solvable Lie group; Quasidiagonal C*-algebra

Categories

Funding

  1. Romanian National Authority for Scientific Research and Innovation, CNCS-UEFISCDI [PN-II-RU-TE-2014-4-0370]

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We characterize the solvable Lie groups of the form R-m (sic) R, whose C*-algebras are quasidiagonal. Using this result, we determine the connected simply connected solvable Lie groups of type I whose C*-algebras are strongly quasidiagonal. As a by-product, we give also examples of amenable Lie groups with non-quasidiagonal C*-algebras.

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