A note on the real coarse Baum-Connes conjecture

TL;DR

This paper explores real K-theory versions of the coarse assembly map, providing documented properties that are well-known but rarely explicitly recorded in the literature.

Contribution

It clarifies and documents properties of the coarse assembly map in real K-theory, filling a gap in the literature.

Findings

Properties of the real coarse assembly map are established.

Results are analogous to known complex K-theory properties.

Provides accessible references for these properties in real K-theory.

Abstract

We document some versions, in real K-theory, of well-known properties of the coarse assembly map in complex K-theory. These results are well-known, but difficult to find in the literature.