منابع مشابه
Norming C∗-algebras by C∗-subalgebras
The purpose of this paper is to introduce and explore a new concept for C∗-algebras: the notion of a norming C∗-subalgebra. The precise definition is given in the next section, but in general terms we have an inclusion A ⊆ B and we attempt to describe the norms of matrices over B by preand post-multiplying by rows and columns over A respectively, and calculating the norms of the resulting eleme...
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In this note we announce some new methods and results in the theory of nonnormal Hilbert space operators and nonself ad joint operator algebras. A main difficulty in the subject has been the apparent absence of relations between, say, a nonself ad joint algebra of operators and its generated C*-algebra. For example, given full information about the norm-closed algebra P(T) generated by all poly...
متن کاملCartan Subalgebras in C*-Algebras
According to J. Feldman and C. Moore’s wellknown theorem on Cartan subalgebras, a variant of the group measure space construction gives an equivalence of categories between twisted countable standard measured equivalence relations and Cartan pairs, i.e., a von Neumann algebra (on a separable Hilbert space) together with a Cartan subalgebra. A. Kumjian gave a C∗-algebraic analogue of this theore...
متن کاملSubalgebras of graph C*-algebras
We prove a spectral theorem for bimodules in the context of graph C∗-algebras. A bimodule over a suitable abelian algebra is determined by its spectrum (i.e., its groupoid partial order) iff it is generated by the Cuntz– Krieger partial isometries which it contains iff it is invariant under the gauge automorphisms. We study 1-cocycles on the Cuntz–Krieger groupoid associated with a graph C∗-alg...
متن کاملTOPOLOGICAL ENTROPY AND AF SUBALGEBRAS OF Graph C*-algebras
Abstract. Let AE be the canonical AF subalgebra of a graph C ∗-algebra C∗(E) associated with a locally finite directed graph E. For Brown-Voiculescu’s topological entropy ht(ΦE) of the canonical completely positive map ΦE on C∗(E), ht(ΦE) = ht(ΦE |AE ) = hl(E) = hb(E) is known to hold for a finite graph E, where hl(E) is the loop entropy of Gurevic and hb(E) is the block entropy of Salama. For ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2000
ISSN: 0022-1236
DOI: 10.1006/jfan.2000.3601