Lecture notes from the conference held Aug. 1995 in Boulder, Colo.
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A featured review of the AMS describes the author?s earlier work in the field of approach spaces as, ?A landmark in the history of general topology?. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually…
A featured review of the AMS describes the author?s earlier work in the field of approach spaces as,?A landmark in the history of general topology?. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually …
Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. The Ind…
Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. The Ind…
Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. The Ind…
"In the early 1980's topologists and geometers for the first time came across unfamiliar words like C*-algebras and von Neumann algebras through the discovery of new knot invariants (by V.F.R. Jones) or through a remarkable result on the relationship between characteristic class…
In this paper we study the index, denoted by Index [italic]E, for conditional expectations [italic]E on [italic]C*-algebras, which is a generalization of the index for subfactors by Jones and Kosaki. The notion of the index is related with coring structure, separable extension,…
We develop a link between the 'coarse' geometry of complete Riemannian manifolds and index theory for elliptic operators on such manifolds. We define and make use of a new cohomology theory that is sensitive only to this coarse geometry. The connection with index theory is made …
The object of this paper is to define a natural analytic index function on an arbitrary von Neumann algebra relative to an arbitrary ideal. This index map enables us to develop a complete Fredholm and semi-Fredholm theory in this setting which is parallel to classical Fredholm a…