Timeline for Homotopicity of $a\mapsto a\otimes 1$ and $a \mapsto 1\otimes a$ as morphisms from $A$ to $A\otimes A$

10 events

when toggle format	what		by	license	comment
Sep 10, 2019 at 22:39	comment	added	Ali Taghavi		@SabrinaGemsa Thank you for your comments. Why do the two maps $a\otimes 1$ and $1\otimes a$ are homotopic morphism in the Cuntz algebra?
Sep 10, 2019 at 22:16	comment	added	Sabrina Gemsa		The answer of you first two questions is no, I guess. You have to look for a unital $C^*$-Algebra with non-trivial projections. What about, for example, $\mathcal{O}_2$ the Cuntz algebra on 2 generators or even corners $A=p\mathcal{O}_2p$ of it, where $p\in \mathcal{O}_2$ is a nontrivial projection?
Aug 29, 2019 at 10:25	history	edited	Ali Taghavi	CC BY-SA 4.0	added 6 characters in body
Aug 28, 2019 at 23:11	history	edited	Ali Taghavi	CC BY-SA 4.0	added 33 characters in body
Aug 25, 2019 at 15:59	history	edited	Ali Taghavi	CC BY-SA 4.0	added 60 characters in body; edited tags
Aug 25, 2019 at 15:02	comment	added	Ali Taghavi		@MarkGrant Thank you very much for this interesting paper.
Aug 24, 2019 at 11:50	comment	added	Mark Grant		The article arxiv.org/abs/1609.04001 may be relevant to your question (although I confess I didn't study it closely).
Aug 24, 2019 at 5:34	history	edited	Ali Taghavi	CC BY-SA 4.0	added 1 character in body
Aug 24, 2019 at 5:28	history	edited	Ali Taghavi	CC BY-SA 4.0	added 1 character in body
Aug 24, 2019 at 5:16	history	asked	Ali Taghavi	CC BY-SA 4.0