منابع مشابه
Disconnected Rational Homotopy Theory
We construct two algebraic versions of homotopy theory of rational disconnected topological spaces, one based on differential graded commutative associative algebras and the other one on complete differential graded Lie algebras. As an application of the developed technology we obtain results on the structure of Maurer-Cartan spaces of complete differential graded Lie algebras.
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متن کاملBanach Algebras and Rational Homotopy Theory
Let A be a unital commutative Banach algebra with maximal ideal space Max(A). We determine the rational H-type of GLn(A), the group of invertible n × n matrices with coefficients in A, in terms of the rational cohomology of Max(A). We also address an old problem of J. L. Taylor. Let Lcn(A) denote the space of “last columns” of GLn(A). We construct a natural isomorphism Ȟ(Max(A);Q) ∼= π2n−1−s(Lc...
متن کاملFrom Rational Homotopy to K-theory for Continuous Trace Algebras
Let A be a unital C-algebra. Its unitary group, UA, contains a wealth of topological information about A. However, the homotopy type of UA is out of reach even for A = M2(C). There are two simplifications which have been considered. The first, well-traveled road, is to pass to π∗(U(A⊗K)) which is isomorphic (with a degree shift) to K∗(A). This approach has led to spectacular success in many are...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2015
ISSN: 0001-8708
DOI: 10.1016/j.aim.2015.07.009