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Thus, the question of the existence of a linearization is reduced to the algebraic question of the splitting of the central extension given by the Theta group.
For everybody else, this makes no sense: why would one involve (Omega BM), a topological space, in such a purely algebraic question?
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Rather than offer a series of multiple choice answers to problems, the team provided the answers to algebraic questions and offered a wide range of numbers for students to formulate.
Do you have trouble with the difficult algebraic questions?
More formally, the Algebraic KP Question is the following "Classification Question".
To the author's knowledge, no Conjecture regarding what the answer to the Algebraic KP Question should be has appeared in the literature.
So the Algebraic KP Question admits a somewhat more concise version: If the signs of det ( I - A E ) and det ( I - A F ) are different, is it the case that L K ( E ) ≇ L K ( F ) ?
One of the elegant aspects of the Algebraic KP Question is that its answer will be interesting, regardless of which of the three possibilities turns out to be correct.
The Algebraic Kirchberg Phillips Question, motivated by the corresponding C ∗ -algebra result, is not the only natural classification-type question to ask in the context of Leavitt path algebras.
We address, by means of an algebraic approach, the question of when a specification is modular for a given pair of specifications.
With the K -theory of the corresponding graph C ∗ -algebras in mind, it was then natural to ask analogous K -theoretic questions about the algebraic CK algebras.
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