Adam H. Fuller

activity

20182022

collaborators

4 papers

math.FA2022

Słociński-Wold decompositions for row-isometries

Adam H. Fuller

Słociński gave sufficient conditions for commuting isometries to have a nice Wold-like decomposition. In this note we provide analogous results for row-isometries satisfying certai…

math.OA2019

Intermediate C*-algebras of Cartan Embeddings

Jonathan H. Brown, Ruy Exel, Adam H. Fuller +2

Let $A$ be a C $^{*}$ -algebra and let $D$ be a Cartan subalgebra of $A$ . We study the following question: if $B$ is a C $^{*}$ -algebra such that $D \subseteq B \subseteq A$ , is $D$ a Car…

math.OA2019

Graded C-algebras and twisted groupoid C-algebras

Jonathan Brown, Adam Fuller, David Pitts +1

Let $C^{*}$ -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 $D$ satisfying an appropriate re…

math.OA2018

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…

Słociński-Wold decompositions for row-isometries

Intermediate C*-algebras of Cartan Embeddings

Graded C*-algebras and twisted groupoid C*-algebras

Cartan Triples

Graded C-algebras and twisted groupoid C-algebras