When Aut(A) and Homeo(Prim(A)) are homeomorphic, where A is a C *-algebra Abstract In this paper, we discuss when Aut(A) and Homeo(Prim(A)) are homeomorphic, where A is a C *-algebra. 1 Preliminaries Let A be C *-algebra. Then the collection Aut(A) of ⋆-automorphisms of A is a group under composition. We give Aut(A) the point-norm topology, that is, α n → α if and only if α n (a) → α(a) for all...

We obtain a new free field realization of N = 2 super W3 algebra using the technique of quantum hamiltonian reduction. The construction is based on a particular choice of the simple root system of the affine Lie superalgebra sl(3|2)(1) associated with a non-standard sl(2) embedding. After twisting and a similarity transformation, this W algebra can be identified as the extended topological conf...

The field content of the two dimensional string theory consists of the dynamical tachyon field and some nonpropagating fields which consist in the topological sector of this theory. We propose in this paper to study this topological sector as a spacetime gauge theory with a simple centrally extended w∞ algebra. This w∞ algebra appears in both the world sheet BRST analysis and the matrix model a...

In this paper, the concept of countably near PS-compactness inL-topological spaces is introduced, where L is a completely distributive latticewith an order-reversing involution. Countably near PS-compactness is definedfor arbitrary L-subsets and some of its fundamental properties are studied.

In this paper, using a relation between Schur multipliers of pairs and triples of groups, the fundamental group and homology groups of a homotopy pushout of Eilenberg-MacLane spaces, we present among other things some behaviors of Schur multipliers of pairs and triples with respect to free, amalgamated free, and direct products and also direct limits of groups with topological approach.

Topological quantum field theories containing matter fields are constructed by twisting N = 2 supersymmetric quantum field theories. It is shown that N = 2 chiral (antichiral) multiplets lead to topological sigma models while N = 2 twisted chiral (twisted antichiral) multiplets lead to Landau-Ginzburg type topological quantum field theories. In addition, topological gravity in two dimensions is...

This paper considers a nonlinear dynamical system on a complex, finite dimensional Banach space which has an asymptotically stable, hyperbolic fixed point. We investigate the connection between the so-called principle eigenfunctions of the Koopman operator and the existence of a topological conjugacy between the nonlinear dynamics and its linearization in the neighborhood of the fixed point. Th...

Following ideas of A. C. Cochran, we give a suitable definition of a saturated uniformly A-convex algebra. In the m-convex case, such algebra is a uniform topological one.