Quasidiagonality of $$C^*$$ C ∗ -Algebras of Solvable Lie Groups

Autor:	Ingrid Beltiţă, Daniel Beltiţă
Rok vydání:	2018
Předmět:	Pure mathematics Algebra and Number Theory Mathematics::Operator Algebras 010102 general mathematics 0103 physical sciences Simply connected space Lie group Of the form 010307 mathematical physics 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Integral Equations and Operator Theory. 90
ISSN:	1420-8989 0378-620X
DOI:	10.1007/s00020-018-2438-6
Popis:	We characterize the solvable Lie groups of the form $${\mathbb {R}}^m\rtimes {\mathbb {R}}$$ , 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8de92a6b59d504b3f95cdfded7a55509 https://doi.org/10.1007/s00020-018-2438-6 Zobrazit plný text záznamu Full text from SpringerLink