28 citations · 49 across the 10 of their papers we have counts for
Showing math.OAShow all
3 papers · 1 filter
math.OA2024
Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality
Pierre Clare, Chi-Kwong Li, Edward Poon +1
We study the problem of calculating noncommutative distances on graphs, using techniques from linear algebra, specifically, Birkhoff-James orthogonality. A complete characterizatio…
math.OA2014★ 19 cited
Adjoint functors between categories of Hilbert C*-modules
Pierre Clare, Tyrone Crisp, Nigel Higson
Let E be a (right) Hilbert C*-module over a C*-algebra A. If E is equipped with a left action of a second C*-algebra B, then tensor product with E gives rise to a functor from the…
math.OA2009★ 1 cited
Hilbert modules associated to parabolically induced representations of semisimple Lie groups
Pierre Clare
Given a measured space X with commuting actions of two groups G and H satisfying certain conditions, we construct a Hilbert C*(H)-module E(X) equipped with a left action of C*(G),…