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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

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 …
Georg Lehner's user avatar
  • 2,303
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 …
Georg Lehner's user avatar
  • 2,303