Spectra, tensor products, and linear operator equations

Partitioned Tensor Products and Their Spectra

A pleasant family of graphs defined by Godsil and McKay is shown to have easily computed eigenvalues in many cases.

Joint Browder Spectra and Tensor Products

On Tensor Products of Operator Modules

The injective tensor product of normal representable bimodules over von Neumann algebras is shown to be normal. The usual Banach module projective tensor product of central representable bimodules over an Abelian C∗-algebra is shown to be representable. A normal version of the projective tensor product is introduced for central normal bimodules.

Diagonals in Tensor Products of Operator Algebras

In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product of A with itself, then A must be isomorphic to a finite dimensional C∗-algebra. Consequently, for operator algebras, the first Hochschild cohomology group, H(A, X) = 0 for every bounded, Banach A-bimodule X , if and ...

Spectra of Tensor Products of Operators