Shift and Quasi-Shift Endomorphisms Associated with Representations of Cuntz Algebras

Date
2012-12-14
Authors
Wood, Clifford Tyler
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Faculty of Graduate Studies and Research, University of Regina
Abstract

We present an overview of the main literature regarding *-endomorphisms of the von Neumann algebra B(H), the bounded linear operators on a separable, in nite- dimensional Hilbert space H. In doing so, we follow the established technique of ex- ploiting the surjective correspondence with non-degenerate representations of Toeplitz- Cuntz algebras. Moreover, we introduce an unstudied class of endomorphism, which we call quasi-shift endomorphisms, and show that they are determined by the well- known class of shift endomorphisms. This is original research adapted from our recent pre-print Quasi-shift Endomorphisms Associated with Representations of Cuntz Alge- bras [13]. i

Description
A Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, University of Regina. v, 67 l.
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