412 research outputs found
Semicrossed products generated by two commuting automorphisms
We study the semicrossed product of a finite dimensional C^*-algebra by two
types of commuting automorphisms, and identify them with matrix algebras of
analytic functions in two variables. We look at the connections with
semicrossed products by Z_+ actions.Comment: 15 page
Meet Irreducible Ideals and Representations of Limit Algebras
In this paper we give a criterion for an ideal of a TAF algebra to be meet
irreducible. We show that an ideal of is meet irreducile if and only if
the C-envelope of the quotient is primitive. In that case, A/J admits
a nest representation which extends to a *-representation of the C-envelope
for We also characterize the meet irreducible ideals as the kernels of
nest representations; this settles the question of whether the n-primitive and
meet irreducible ideals coincide.Comment: 8 pages; accepted in JF
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