Philip M. Gipson

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20142019

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3 papers · 1 filter

math.OA2017

Toeplitz Algebras of Correspondences and Endomorphisms of Sums of Type I Factors

Philip M. Gipson

It is a well-known fact that endomorphisms of $B (H)$ are intimately connected with families of mutually orthogonal isometries, i.e. with representations of the so-called Toeplitz $…

math.OA2016

On Equivalence for Representations of Toeplitz Algebras

Philip M. Gipson

Two new notions of equivalence for representations of a Toeplitz algebra $E_{n}$ , $n < \infty$ , on a common Hilbert space are defined. Our main results apply to $C^{*}$ -dynamic…

math.OA2014

Invariant Basis Number for $C^{*}$ -Algebras

Philip M. Gipson

We develop the ring-theoretic notion of Invariant Basis Number in the context of unital $C^{*}$ -algebras and their Hilbert $C^{*}$ -modules. Characterization of $C^{*}$ -algebras with Inva…

Toeplitz Algebras of Correspondences and Endomorphisms of Sums of Type I Factors

On Equivalence for Representations of Toeplitz Algebras

Invariant Basis Number for C∗-Algebras

Invariant Basis Number for $C^{*}$ -Algebras