4 papers · 1 filter
Fourier coefficients and rapid decay in reduced groupoid C*-algebras
Adam H. Fuller, Pradyut Karmakar
Let be a twist over a locally compact Hausdorff étale groupoid . Given in the reduced C-algebra with open support we ask wh…
Intermediate C*-algebras of Cartan Embeddings
Jonathan H. Brown, Ruy Exel, Adam H. Fuller +2
Let be a C-algebra and let be a Cartan subalgebra of . We study the following question: if is a C-algebra such that , is a Car…
Graded C*-algebras and twisted groupoid C*-algebras
Jonathan Brown, Adam Fuller, David Pitts +1
Let -algebra that is acted upon by a compact abelian group. We show that if the fixed-point algebra of the action contains a Cartan subalgebra satisfying an appropriate re…
Cartan Triples
Allan P. Donsig, Adam H. Fuller, David R. Pitts
We introduce the class of Cartan triples as a generalization of the notion of a Cartan MASA in a von Neumann algebra. We obtain a one-to-one correspondence between Cartan triples a…