The $K$-groups and the index theory of certain comparison $C^*$-algebras

Autor:	Monthubert, Bertrand, Nistor, Victor
Rok vydání:	2010
Předmět:	Mathematics - K-Theory and Homology Mathematics - Classical Analysis and ODEs Mathematics - Operator Algebras 58J20 58J40 19M05
Druh dokumentu:	Working Paper
Popis:	We compute the $K$-theory of comparison $C^*$-algebra associated to a manifold with corners. These comparison algebras are an example of the abstract pseudodifferential algebras introduced by Connes and Moscovici \cite{M3}. Our calculation is obtained by showing that the comparison algebras are a homomorphic image of a groupoid $C^*$-algebra. We then prove an index theorem with values in the $K$-theory groups of the comparison algebra. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1005.1718 Zobrazit plný text záznamu View this record from Arxiv