Date of Award

1-1-2011

Language

English

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

College/School/Department

Department of Mathematics and Statistics

Content Description

1 online resource (vi, 56 pages)

Dissertation/Thesis Chair

Rongwei Yang

Committee Members

Michael Range, Kehe Zhu, Marco Varisco

Keywords

Cyclic Cohomology, Maurer-Cartan, Projective Spectrum, Cohomology operations, K-theory, Topological algebras, Banach algebras

Subject Categories

Physical Sciences and Mathematics

Abstract

For a tuple A=(A_1,A_2,...,A_n) of elements in a unital topological algebra, B, over complex numbers the projective spectrum, P(A) is the set of z such that the linear pencil A(z)=z_1A_1+z_2A_2+ ... + z_nA_n is not invertible in B.

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