Addition of algebra endomorphisms

Compact Endomorphisms of Certain Subalgebras of the Disk Algebra

compact endomorphisms of certain subalgebras of the disk algebra

Relative ranks in the monoid of endomorphisms of an independence algebra

The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank modulo two distinguished subsets are calculated. These subsets are the group of automorphisms and the endomorphisms α satisfying α2 = α. The extra generators are characterised in each case. 2000 Mathematics Subject Classification. 20M20, 08A35.

On Cocycle Conjugacy of Quasifree Endomorphisms Semigroups on the Car Algebra

W. Arveson has described a cocycle conjugacy class U(α) of E0-semigroup α on B(H) which is a factor of type I. Under some conditions on α there is a E0-semigroup β ∈ U(α) being a flow of shifts in the sense of R.T.Powers (see [11]). We study quasifree endomorphisms semigroups α on the hyperfinite factor M = π(A(K)) generated by the representation π of the algebra of the canonical anticommutatio...

Branching laws for polynomial endomorphisms in CAR algebra for fermions, uniformly hyperfinite algebras and Cuntz algebras

Previously, we have shown that the CAR algebra for fermions is embedded in the Cuntz algebra O2 in such a way that the generators are expressed in terms of polynomials in the canonical generators of the latter, and it coincides with the U(1)-fixed point subalgebra A ≡ O 2 of O2 for the canonical gauge action. Based on this embedding formula, some properties of A are studied in detail by restric...