منابع مشابه
On Subalgebras of C*-algebras
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 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 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 کاملNorming 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...
متن کاملCHEBYSHEV SUBALGEBRAS OF JB-ALGEBRAS
In this note, we characterize Chebyshev subalgebras of unital JB-algebras. We exhibit that if B is Chebyshev subalgebra of a unital JB-algebra A, then either B is a trivial subalgebra of A or A= H R .l, where H is a Hilbert space
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1969
ISSN: 0001-5962
DOI: 10.1007/bf02392388