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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
2
votes
Does Grayson/Quillen's "pre group completion" have a universal property?
It is the classifying category for the left action of $C$ on its product $C \times C$.
Let me elaborate on this a bit further. Let $C$ be an $E_\infty$-monoid, for example represented by a symmetric m …
4
votes
1
answer
170
views
Injectivity of assembly in A-theory for $BC_2 = \mathbb R P^\infty$ in degree $4$
I am trying to understand the assembly map
$$\pi_i ((BC_2)_+ \wedge A( \ast )) \rightarrow A_i( BC_2 ) $$
in low degrees for the space $BC_2 = \mathbb R P^\infty$ in Waldhausen $A$-theory. I know we h …