Volume no :5, Issue no: 2, July 2010

Journal of Mathematical Sciences: Advances and Applications

FRAMES, FRACTALS AND RADIAL OPERATORS IN HILBERT SPACE

Author's: Ilwoo Cho
Pages: [333] - [393]
Received Date: June 30, 2010
Submitted by:

Abstract

In this paper, we construct graphs having a fractal property, and groupoids induced by the graphs. The fundamental properties of them and their corresponding graph von Neumann algebras, and their radial operators are studied.

Keywords

directed graphs, graph groupoids, fractal graphs, graph von Neumann algebras, radial operators, framed fractal graphs.