منابع مشابه
Simplicial Endomorphisms
A presentation by generators and relations is given for the monoids of endomorphisms in the simplicial category. These monoids are submonoids of monoids one finds in Temperley-Lieb algebras, and as the monoids of Temperley-Lieb algebras are linked to situations where an endofunctor is adjoint to itself, so the monoids of simplicial endomorphisms axiomatized here are linked to arbitrary adjoint ...
متن کاملEndomorphisms of Superelliptic Jacobians
Let K be a field of characteristic zero, n ≥ 5 an integer, f(x) an irreducible polynomial over K of degree n, whose Galois group contains a doubly transitive simple non-abelian group. Let p be an odd prime, Z[ζp] the ring of integers in the pth cyclotomic field, Cf,p : y p = f(x) the corresponding superelliptic curve and J(Cf,p) its jacobian. Assuming that either n = p + 1 or p does not divide ...
متن کاملEndomorphisms of B(H
The unital endomorphisms of B(H) of (Powers) index n are classified by certain U(n)-orbits in the set of non-degenerate representations of the Cuntz algebra On on H. Using this, the corresponding conjugacy classes are identified, and a set of labels is given. This set of labels is P/ ∼ where P is a set of pure states on the UHFalgebra Mn∞ , and ∼ is a non-smooth equivalence on P . Several subse...
متن کاملEndomorphisms and Quantum Operations
We define a quantum operation as a special type of endomorphism between spaces of matrices. Representations of endomorphisms are considered and an isomorphism between higher dimensional matrices and endomorphisms is derived. We then employ this isomorphism to prove various results for endomorphisms and quantum operations. For example, an endomorphism is completely positive if and only if its co...
متن کاملLifting Endomorphisms to Automorphisms
Normal endomorphisms of von Neumann algebras need not be extendable to automorphisms of a larger von Neumann algebra, but they always have asymptotic lifts. We describe the structure of endomorphisms and their asymptotic lifts in some detail, and apply those results to complete the identification of asymptotic lifts of unital completely positive linear maps on von Neumann algebras in terms of t...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1947
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1947-0020561-7