This paper studies derivations, endomorphisms, automorphisms, and various related questions about certain Banach algebras, B, which are continuously embedded in the space of complex formal power series in the indeterminate z.
Motivated by (i) Elliott's classification of direct limits of countable sequences of finite-dimensional semisimple complex algebras and complex AF C*-algebras, (ii) classical results classifying involutions on finite-dimensional semisimple complex algebras, and (iii) the classif…
The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural …
This memoir presents an extensive study of strongly continuous actions of abelian locally compact groups on [italic capital]C*-algebras with continuous trace. Expositions of the Mackey-Green-Rieffel machine of induced representations and the theory of Morita equivalent [italic c…
![Index for [italic]C*-subalgebras](https://covers.openlibrary.org/b/isbn/0821824872-M.jpg?default=false)
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,…
![The [Gamma]-equivariant form of the Berezin quantization of the upper half plane](https://covers.openlibrary.org/b/isbn/0821807528-M.jpg?default=false)
The study of interrelationships between rectifiable currents associated to n-tuples of operators with commutators or multicommutators satisfying trace class conditions is the exploration of a non commutative spectral theory in which there is still a significant degree of localiz…
The present memoir lies between operator theory and function theory of one complex variable. Motivated by refinements of the analytic functional calculus of a subnormal operator, the authors are rapidly directed towards difficult problems of hard analysis. Quite specifically, th…