Jeffrey L. Boersema

activity

20242026

collaborators

5 papers

math.KT2026

The real $K$ -theory of the sphere with an arbitrary involution

Jeffrey L. Boersema

We complete the investigation begun in a previous paper to find unitary representations of the non-trivial real $K$ -theory elements for the sphere $S^{d}$ with an involution. Here we…

math.OA2026

Functoriality of real crossed product K-theory spectral sequences with respect to group homomorphisms

Jeffrey L. Boersema, Sarah L. Browne, Elizabeth Gillaspy +1

Spectral sequences are a key tool for computing the K-theory of a crossed product C $^{*}$ -algebra. However, the impact of a group homomorphism $I^c ◯ : G \to H$ on such a spectral s…

math.OA2026

Real $K$ -Theory for $C^{*}$ -Algebras: Just the Facts

Jeff Boersema, Claude Schochet

This work is intended to present the basic properties of $K O$ -theory for real $C^{*}$ -algebras and to explain its relationship with complex $K$ -theory and with $K R$ - theory. Whenever…

math.KT2025

The $K$ -Theory of the Sphere with the Antipodal Involution

Jeffrey L Boersema

This is a thorough investigation on the real $K$ -theory of the sphere $S^{d}$ associated with the antipodal involution. We calculate the algebraic structure of real $K$ -theory and un…

math.OA2024

Real and complex K-theory for higher rank graph algebras arising from cube complexes

Jeffrey L Boersema, Alina Vdovina

Using the Evans spectral sequence and its counter-part for real $K$ -theory, we compute both the real and complex $K$ -theory of several infinite families of $C^{*}$ -algebras based on…

The real K-theory of the sphere with an arbitrary involution

Functoriality of real crossed product K-theory spectral sequences with respect to group homomorphisms

Real K-Theory for C∗-Algebras: Just the Facts

The K-Theory of the Sphere with the Antipodal Involution

Real and complex K-theory for higher rank graph algebras arising from cube complexes

The real $K$ -theory of the sphere with an arbitrary involution

Real $K$ -Theory for $C^{*}$ -Algebras: Just the Facts

The $K$ -Theory of the Sphere with the Antipodal Involution