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- Mitchell InstituteUS14 papers
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6 papers · 1 filter
Hyperinvariant subspaces for some B-circular operators
Ken Dykema
We show that if A is a Hilbert-space operator, then the set of all projections onto hyperinvariant subspaces of A, which is contained in the von Neumann algebra vN(A) that is gener…
Invariant subspaces of the quasinilpotent DT-operator
Ken Dykema, Uffe Haagerup
We previously introduced the class of DT--operators, which are modeled by certain upper triangular random matrices, and showed that if the spectrum of a DT-operator is not reduced…
On embeddings of full amalgamated free product C*-algebras
Scott Armstrong, Ken Dykema, Ruy Exel +1
We examine the question of when the *-homomorphism of full amalgamated free product C*-algebras λ: A *_D B --> A' *_{D'} B', arising from compatible inclusions of C*-algebras A in…
The Operator Hilbert Space OH and TYPE III von Neumann Algebras
Gilles Pisier
We prove that the operator Hilbert space OH does not embed completely isomorphically into the predual of a semi-finite von Neumann algebra. This complements Junge's recent result t…
Crossed products and entropy of automorphisms
Ciprian Pop, Roger R. Smith
Let A be an exact C^*-algebra, let G be a locally compact group, and let (A,G,α) be a C*-dynamical system. Each automorphism α_g induces a spatial automorphism Ad_{\lamba_g} on the…
Popa algebras in free group factors
Nathanial P. Brown, Kenneth J. Dykema
For each 1<s<\infty, a Popa algebra A_s is constructed that embeds as a weakly dense C*-subalgebra of the interpolated free group factor L(F_s). Certain approximation properties fo…