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arXiv · 1708.03258

E-theory Spectra for graded C*-algebras

Sarah L. Browne
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Abstract

This paper brings together C*-algebras and algebraic topology in terms of viewing a C*-algebraic invariant in terms of a topological spectrum. E-theory, E(A,B), is a bivariant functor in the sense that is a cohomology functor in the first variable and a homology functor in the second variable but underlying goes from the category of separable C*-algebras and *-homomorphisms to the category of abelian groups and group homomorphisms. Here we create a generalisation of a orthogonal spectrum to quasi-topological spaces for E-theory. This includes a rich product structure in the context of graded separable C*-algebras.

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Sarah L. Browne. 2017-08-10. E-theory Spectra for graded C*-algebras. https://arxiv.org/abs/1708.03258

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