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Graph Algebras as Subalgebras of the Bounded Operators in $L_2(R)$ | | Danilo Royer
; Daniel Goncalves
; | | Date: |
7 Aug 2009 | | Abstract: | In this paper we show how to produce a large number of representations of a
graph C*-algebra in the space of the bounded linear operators in $L^2(X,mu)$.
These representations are very concrete and, in the case of graphs that satisfy
condition (K), we use our techniques to realize the associated graph C*-algebra
as a subalgebra of the bounded operators in $L^2(R)$. We also show how to
describe some Perron-Frobenius operators in $L^1(X,mu)$, in terms of the
representations we associate to a graph. | | Source: | arXiv, 0908.1055 | | Services: | Forum | Review | PDF | Favorites | |
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