عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
NATIONAL BIBLIOGRAPHY NUMBER
Number
TLpq2234479161
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Admissibility of C*-Covers and Crossed Products of Operator Algebras
General Material Designation
[Thesis]
First Statement of Responsibility
Hamidi, Mitchell A.
Subsequent Statement of Responsibility
Donsig, Allan
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
The University of Nebraska - Lincoln
Date of Publication, Distribution, etc.
2019
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
100
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Ph.D.
Body granting the degree
The University of Nebraska - Lincoln
Text preceding or following the note
2019
SUMMARY OR ABSTRACT
Text of Note
In 2015, E. Katsoulis and C. Ramsey introduced the construction of a non-self-adjoint crossed product that encodes the action of a group of automorphisms on an operator algebra. They did so by realizing a non-self-adjoint crossed product as the subalgebra of a C∗-crossed product when dynamics of a group acting on an operator algebra by completely isometric automorphisms can be extended to self-adjoint dynamics of the group acting on a C∗-algebra by ∗-automorphisms. We show that this extension of dynamics is highly dependent on the representation of the given algebra and we define a lattice structure for an operator algebra's completely isometric representation theory. We characterize when a self-adjoint extension of dynamics exists in terms of the boundary ideal structure for the given operator algebra in its maximal representation. We use this characterization to produce the first example of dynamics on a finite dimensional non-self-adjoint operator algebra that are not extendable in a given representation and the first examples of always extendable dynamics for a family of operator algebras in a non-extremal representation. We give a partial crossed product construction to extend dynamics on a family of operator algebras, even when the operator algebra is represented degenerately. We connect W. Arveson's crossed product with that of E. Katsoulis and C. Ramsey by giving a partial answer to a recent open problem.
TOPICAL NAME USED AS SUBJECT
Mathematics
PERSONAL NAME - PRIMARY RESPONSIBILITY
Donsig, Allan
Hamidi, Mitchell A.
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب p
[Thesis]
276903
a
Y
