Angles in C*-algebras
M. Anoussis, A. Katavolos, I. G. Todorov
Abstract
In this work we characterise the C*-algebras A generated by projections with the property that every pair of projections in A has positive angle, as certain extensions of abelian algebras by algebras of compact operators. We show that this property is equivalent to a lattice theoretic property of projections and also to the property that the set of finite-dimensional *-subalgebras of A is directed.
Create a lesson
Related papers
The generator problem for C*-algebras with comparison
Ben Bouwen, Jorge Castillejos, Jakub Curda
Actions of Fell bundles, II: tensor products and Fourier-Stieltjes algebras
Erik Bédos, Roberto Conti
A note on purely infinite extensions
Ping Wong Ng, Cangyuan Wang
Wiener's lemma for quasicrystals: hull-uniform decay of covariant kernels on Delone sets
Diego Jaure
Homotopies of constant Cuntz classes in pure C*-algebras
Chrisil Ouseph, Andrew S. Toms
Mean dimension and radius of comparison
George A. Elliott, Zhuang Niu