Operator Algebra of Foliations with Projectively Invariant Transverse Measure
نویسندگان
چکیده
منابع مشابه
Operator Algebra of Transversely Affine Foliations
We establish a geometric condition that determines when a type III von Neumann algebra arises from a foliation whose holonomy becomes affine with respect to a suitable transverse coordinate system. Under such an assumption the Godbillon-Vey class of the foliation becomes trivial in contrast to the case considered in Connes’s famous theorem.
متن کاملThe Measure Algebra as an Operator Algebra
Introduction. In § I, it is shown that M(G)*, the space of bounded linear functionals on M(G), can be represented as a semigroup of bounded operators on M(G). Let A denote the non-zero multiplicative linear functionals on M(G) and let P be the norm closed linear span of A in M(G)*. In § II, it is shown that P , with the Arens multiplication, is a commutative J3*-algebra with identity. Thus P = ...
متن کاملOn holomorphic foliations with projective transverse structure
We study codimension one holomorphic foliations on complex projective spaces and compact manifolds under the assumption that the foliation has a projective transverse structure in the complement of some invariant codimension one analytic subset. The basic motivation is the characterization of pull-backs of Riccati foliations on projective spaces. Our techniques apply to give a description of th...
متن کاملInvariant elements in the dual Steenrod algebra
In this paper, we investigate the invariant elements of the dual mod $p$ Steenrod subalgebra ${mathcal{A}_p}^*$ under the conjugation map $chi$ and give bounds on the dimensions of $(chi-1)({mathcal{A}_p}^*)_d$, where $({mathcal{A}_p}^*)_d$ is the dimension of ${mathcal{A}_p}^*$ in degree $d$.
متن کاملCritical Regularity of Invariant Foliations
:D AEDF .=G . The spectrum H $ I(KJEL of its complexification is called the Mather spectrum [M]. Anosov showed that and , called the unstable and stable bundles, are Hölder continuous. One an give lower bounds for attainable values of the Hölder exponent in terms of contraction and expansion rates of ! . Optimal estimates and reasons for wanting them are given in [H2, HW]. They are not exceeded...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2013
ISSN: 0034-5318
DOI: 10.4171/prims/116